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Area of composite shapes

Here you will learn about the area of composite shapes, including questions involving rectilinear shapes, composite shapes, missing side lengths and unit conversion.

Students will first learn about composite shapes as part of geometry in 3rd grade when they learn how to decompose and find the area of rectilinear shapes.

Students deepen their understanding of area in 4th grade, and extend their learning by finding the area of more complex shapes in 6th grade.

What is the area of composite shapes?

The area of composite shapes is the amount of space inside a shape composed of basic shapes put together. It is measured in square units ( cm^2, m^2, mm^2 etc.).

Composite shapes can also be called compound shapes or composite figures.

To find the area of composite shapes, you must decompose the composite shape into basic shapes, then find the area of each of the basic shapes and add them together.

For example,

Your final answer must be in square units. For example, square centimeters (cm^2), square meters (m^2), square feet (ft^2), etc.

[FREE] Area of Composite Shapes Worksheet (Grade 3 to 8)

Use this worksheet to check your grade 3 to 8 students’ understanding of calculating the area of composite shapes. 15 questions with answers to identify areas of strength and support!

Common Core State Standards

How does this relate to 3rd grade math and 4th grade math?

• Grade 3 – Measurement and Data (3.MD.7, 3.MD.7.d) Relate area to the operations of multiplication and addition; Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.
• Grade 4 – Measurement and Data (4.MD.3) Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.
• Grade 6 – Geometry (6.G.1) Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

How to find the area of composite shapes

Here’s how to find the area of composite shapes:

• Break down the composite shape into simpler shapes, such as rectangles, triangles, etc.

Find the measurements and areas of the simpler shapes.

Add the areas of the simpler shapes together.

Write down your final answer with square units.

Area of composite shapes examples

Example 1: all side lengths given (area of a rectilinear figure).

Find the area of the composite shape below:

• Break down the composite shape into basic shapes.

Split the composite shape into two rectangles. You can do this in two ways:

For the purposes of this question you will use the first way.

2 Find the measurements and area of the simpler shapes.

Label the two rectangles A and B.

Area of Rectangle A :

\begin{aligned} \text { Area }_{A} &=\text{ length } \times \text{ width } \\\\ \text { Area }_{A} &=6 \times 5 \\\\ &=30 \end{aligned}

Area of Rectangle B :

\begin{aligned} \text { Area }_{B} &=\text{ length } \times \text{ width } \\\\ \text { Area }_{B} &=9 \times 4 \\\\ &=36 \end{aligned}

3 Add the areas of the simpler shapes together.

\begin{aligned} \text { Composite Area } &=\text{ Area of } A+ \text{ Area of } B \\\\ &= 30+36 \\\\ &=66 \end{aligned}

4 Write down your final answer with square units.

\text{ Area }=66 \mathrm{~m}^{2}

Example 2: missing lengths

Break down the composite shape into simpler shapes.

Split the composite shape into two rectangles and find the area of each rectangle.

You need to calculate the unknown length. To do this, you need to use the measurements you are given in the question that are parallel to the unknown side:

If you add together the 3 sides, you will get the length of rectangle A.

4+5+5= 14 \, m

\begin{aligned} \text { Area }_{A} &=\text{ length } \times \text {width } \\\\ \text { Area }_{A} &=14 \times 2 \\\\ &=28 \end{aligned}

The length of the entire composite shape is 10 \, m. You need to subtract the 2 \, m of shape A to get just the length of shape B.

\begin{aligned} \text { Area }_{B} &=\text{ length } \times \text{ width } \\\\ \text { Area }_{B} &=8 \times 5 \\\\ &=40 \end{aligned}

\begin{aligned} \text { Composite Area } &=\text{ Area of } A+\text{ Area of } B \\\\ &=28+40 \\\\ &=68 \end{aligned}

\text{ Area }=68 \mathrm{~m}^{2}

Example 3: word problem

The wall shown below needs to be painted. Each tin of paint covers a distance of 4 square meters. How many tins of paint will be needed to cover the entire wall?

Split the composite shape into three rectangles and find the area of each rectangle.

Label the three rectangles A, B and C.

Notice that rectangle A and C each have a tick mark at the bottom. This means that these sides are congruent, or equal. Therefore, we know the width of rectangle A is 5 \, m.

\begin{aligned} \text { Area }_{A} &=\text{ length } \times \text{ width } \\\\ \text { Area }_{A} &=12 \times 5 \\\\ &=60 \end{aligned}

Rectangle C is congruent to Rectangle A, so you can just double the area of rectangle A.

60 \times 2=120

You need to calculate the unknown width. To do this, you need to use the measurements you are given in the question that are parallel to the unknown side:

The entire width of the shape is 13 \, m. If you subtract 5 \, m and 5 \, m \; ( the width of rectangles A and C).

13 - 5 - 5 = 3 \, m

\begin{aligned} \text{ Area }_{B} &=\text { length } \times \text{ width } \\\\ \text{ Area }_{B} &=7 \times 3 \\\\ &=21 \end{aligned}

\begin{aligned} \text { Composite Area } &=\text{ Area of } A+\text{ Area of } B+\text{ Area of } C \\\\ &=60+21+60 \\\\ &=141 \end{aligned}

\text { Area }=141 \mathrm{~m}^{2}

While this is the total area, you need to calculate how many tins of paint will be needed to cover the wall.

If each tin of paint covers a distance of 4 square meters, you need to divide 4 into 141.

141 \div 4=35.25

Since you cannot buy 0.25 of a can of paint, you need to round your answer to 36 tins of paint.

Answer \textbf{= } \bf{36} tins of paint will be needed .

Example 4: composite shapes involving non-rectangular shapes

Split the composite shape into a triangle and rectangle.

Note: This shape is a trapezoid. Another way to find the area of this shape would be to simply use the formula for the area of a trapezoid. For this question, because you are focusing on composite shapes, you will separate the shape into a triangle and a rectangle.

See also: Area of a trapezoid

Label the two shapes A and B.

Area of Triangle A :

\begin{aligned} \text { Area }_{A} &=\cfrac{b \, \times h}{2} \\\\ \text { Area }_{A} &=\cfrac{2 \, \times 8}{2} \\\\ &=8 \end{aligned}

The height of the entire composite shape is 6 \, m. You need to subtract the 2 \, m of shape A to get just the length of shape B.

\begin{aligned} \text { Area }_{B} &=\text{ length } \times \text{ width } \\\\ \text { Area }_{B} &=8 \times 4 \\\\ &=32 \end{aligned}

\begin{aligned} \text{ Composite Area } &=\text{ Area of } A+\text{ Area of } B \\\\ &=8+32 \\\\ &=40 \end{aligned}

\text{ Area }=40 \mathrm{~m}^{2}

Example 5: missing side lengths

Calculate the value of x in the composite shape below:

Split the composite shape into two rectangles.

Find the measurements and area of the simpler shapes.

\begin{aligned} \text { Area }_{A} &=\text{ length } \times \text{ width } \\\\ \text { Area }_{A} &=8 \times 2 \\\\ &=16 \end{aligned}

In this case, you are not given enough information to find the area of Rectangle B.

Add the areas of the simpler shapes.

For this problem, you will need to use subtraction in order to find the area of rectangle B.

\begin{aligned} \text{ Composite Area } &=\text{ Area of } A+\text{ Area of } B \\\\ 48 &=16+\text{ Area of } B \\\\ \text{ Area of } B &=48-16 \\\\ \text{ Area of } B &=32 \end{aligned}

Now that you know the area of rectangle B, you can calculate the value of x.

\begin{aligned} \text{ Area of } B &=l \times w \\\\ 32 &=l \times 4 \\\\ l &=\cfrac{32}{4} \\\\ l &=8 \, m \end{aligned}

Example 6: multi-step word problem

Below is a blueprint for a garden to be created in the middle of town. It will feature a triangular flowerbed and the remainder of the garden will be covered in grass.

Each roll of grass costs \$24 and covers a distance of 3 square meters. How much will it cost to cover the garden with grass?

Split the composite shape into two rectangles. Once you find the area of the two rectangles, you can subtract the area of the triangle.

Label the three shapes A, B and C.

Area of rectangle A :

\begin{aligned} \text { Area }_A & =\text{ length } \times \text{ width } \\\\ \text { Area }_A & =7 \times 2 \\\\ & =14 \mathrm{~m}^2 \end{aligned}

Area of rectangle B :

\begin{aligned} \text{ Area }_{B} &=\text{ length } \times \text{ width } \\\\ \text { Area }_{B} &=11 \times 7 \\\\ &=77 \mathrm{~m}^{2} \end{aligned}

Area of Triangle C :

The height of the triangle is 6 \, m.

You need to calculate the unknown width of the triangle. To do this, you need to use the measurements you are given in the question that are parallel to the unknown side:

The width of the entire composite shape is 11 \, m. You need to subtract the 5 \, m and 4 \, m from 11 \, m to get the width of shape C.

\begin{aligned} \text{ Area }_{C} &=\cfrac{1}{2} \, (\text{ base } \times \text{ height }) \\\\ \text{ Area }_{C} &=\cfrac{2 \, \times \, 6}{2} \\\\ &=6 \, m^{2} \end{aligned}

\begin{aligned} \text{ Composite Area } &=\text{ Area of } A+\text{ Area of } B-\text{ Area of } C \\\\ &=14+77-6 \\\\ &=85 \end{aligned}

\text { Area }=85 \mathrm{~m}^{2}

Teaching tips for area of composite shapes

• Start with simple shapes like two rectangles before moving onto more complex shapes like triangles and trapezoids.
• Instead of worksheets, offer students a variety of ways to practice finding the area of composite shapes. One idea is for students to create composite shapes (either on paper, using manipulatives, or using an interactive website) and have a partner find the area.

Easy mistakes to make

• Using incorrect units for the answer A common mistake is to forget to include square units when asked to find area.
• Forgetting to convert measures to a common unit Before using the formula for calculating the area of a rectangle, you must look at the units given in the question. If different units are given, for example, length = 4 \, m and width = 3 \, cm, you must convert them either both to cm or both to m.

Related area lessons

• Area of isosceles triangle
• Area of a right triangle
• Area of equilateral triangle
• Area of obtuse triangle
• Area of a hexagon
• Area of a pentagon
• Area of irregular shapes

Practice area of composite shapes questions

1. Find the area of the composite shape below:

Split into two rectangles. Find the area of the rectangle and the area of the square and add them together.

Area of A\text{: } 10 \times 5=50

Area of B\text{: } 5 \times 3=15

Composite Area: 50+15=65 \, m^2

2. Find the area of the composite shape below:

Split into two rectangles. Find the area of the smaller rectangle and the larger rectangle and add them together.

Area of B\text{: } 9 \times 6=54

Composite Area: 50+54=104 \, m^2

3. The wall shown below needs to be painted. Each tin of paint covers a distance of 4 square meters. How many tins of paint will be needed to cover the entire wall?

Split into three rectangles:

Area of A\text{: } 15 \times 5=75

Area of B\text{: } 8 \times 2=16

Area of C\text{: } 15 \times 5=75

Composite Area: 75+16+75=166 \, m^2

Then divide by 4 to get the number of tins.

166 \, m^2 \div 4=41.5

Since you can’t buy 0.5 of a tin, the answer will be rounded up to 42 tins.

4. Find the area of the composite shape below:

Split into one rectangle and two triangles:

Since you know the triangles are congruent, you can use the base of the rectangle to find the base of the triangles.

380 \mathrm{~cm} \div 2=190 \mathrm{~cm}

Area of A\text{: } \cfrac{1}{2} \, (190 \times 80)=7,600

Area of B\text{: } \cfrac{1}{2} \, (190 \times 80)=7,600

Area of C\text{: } 170 \times 380=64,600

Composite Area: 7,600+7,600+64,6000=79,800 \mathrm{~m}^2

5. Find the value of x in the composite shape below:

Split into two rectangles:

Area of B\text{: } 4 \mathrm{~mm} \times 11 \mathrm{~mm}=44 \mathrm{~mm}^2

The difference between the total area and the area of rectangle B will give you the area of rectangle A\text{:}

56 \mathrm{~mm}^2-44 \mathrm{~mm}^2=12 \mathrm{~mm}^2

The area of rectangle A divide by its width will give you the missing side length:

12 \mathrm{~mm}^2 \div 3 \mathrm{~mm}=4 \mathrm{~mm}

The difference between the length of rectangle B and the length of rectangle A gives you the value of missing side length x.

11 \mathrm{~mm}-4 \mathrm{~mm}=7 \mathrm{~mm}

6. An architect is developing a blueprint for one floor of a house which is shown below. The shaded region represents the floor and will need to be fully tiled. Each square tile has a width of 12 \, cm. How many tiles will be needed to cover the entire floor?

To find the area of the shaded region, you need to first find the total area of the rectangle. Then find the area of the triangle.

Instead of adding the areas together, here you will be subtracting the areas.

Area of A\text{: } 7 \times 11=77

Area of B\text{: } \cfrac{1}{2} \, (4 \times 3)=6

\begin{aligned} & 77-6=71 \mathrm{~m}^2 \\\\ & 12 \mathrm{~cm}=0.12 \mathrm{~m} \end{aligned}

Area of 1 tile =0.12 \times 0.12=0.0144 \mathrm{~m}^2

71 \div 0.0144=4,930.56 tiles

4,931 tiles

Area of composite shapes FAQs

A composite is a shape composed of basic shapes put together. A composite shape can also be called a compound shape or a composite figure.

The next lessons are

• Area of a quadrilateral

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[FREE] Common Core Practice Tests (3rd to 8th Grade)

Prepare for math tests in your state with these 3rd Grade to 8th Grade practice assessments for Common Core and state equivalents.

Get your 6 multiple choice practice tests with detailed answers to support test prep, created by US math teachers for US math teachers!

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Composite Shapes Worksheets | Area of Compound Shapes

This compilation of meticulously crafted printable area of compound shapes worksheets for students of 6th grade, 7th grade, and 8th grade extends two levels of composite figures to prep up finding the area. Simple plane shapes like triangles, rectangles, squares, parallelograms, rhombus, trapezoids, circles, semicircles, and quadrants compose the figures in our pdf area of composite shapes worksheets. The combinations include two or more overlapping and non-overlapping shapes with whole-number and decimal dimensions. Free worksheets are also included.

Adding Area - Two Regions | Whole Numbers

Introduce children to the area addition postulate, which states that the total area of a compound shape made of two non-overlapping shapes is the sum of the individual areas. Apply it and work out this exercise.

• Download the set

Area of Rectilinear Figures Worksheets

Explore this section of area of complex figures worksheets for grade 2 to grade 5 to secure fundamental practice on the area of a rectilinear figure - a basic composite shape composed of non-overlapping rectangles.

(25 Worksheets)

Adding Area - Two Regions | Decimals

These printable pdfs depict combinations of two shapes, such as squares and semicircles or triangles and rectangles for instance, with decimal dimensions. Sum up the individual areas for the total area.

Subtracting Area - Two Regions | Whole Numbers

Surpass your peers by finding the area of composite figures made of simple shapes that overlap. Subtract the area of the unshaded figure from the total area to arrive at the area of the shaded region.

Subtracting Area - Two Regions | Decimals

Task grade 6 and grade 7 children with completing this pack of printable area of compound shapes worksheets so they ace determining determine the area between two shapes or the area of the shaded region using subtraction.

Adding Area - 3 or More Regions | Whole Numbers

The composite shapes here comprise three or more shapes. Decompose the complex figures into simple shapes, find their areas using the whole-number measures, and combine them to calculate the total area.

Adding Area - 3 or More Regions | Decimals

Implement the additive-area method to answer these area of composite shapes worksheets. Compute the area of 3 or more shapes that compose the complex figure using the relevant formulas, and add them.

Subtracting Area - 3 or More Regions | Whole Numbers

Two or more shapes within another shape and regions sharing borders as the overlapping parts make these area of compound shapes worksheets a tough nut to crack. Solve for the area and streak ahead!

Subtracting Area - 3 or More Regions | Decimals

Accomplishing the tasks in these pdfs with decimal measures, grade 7 and grade 8 students scale the heights of finding the area of complex figures. They need to round the area to 2 decimal places if necessary.

Area of Compound Shapes | Mixed Review - Level 1

Review finding the area of compound figures with these printable worksheets. Break down each compound shape into standard shapes; obtain their areas; add or subtract them to arrive at the total area.

Area of Compound Shapes | Mixed Review - Level 2

An excellent resource to test the skills of 6th grade, 7th grade, and 8th grade students, these area of composite shapes worksheets have complex figures made of both overlapping and non-overlapping shapes.

Area of Compound Shapes on Grids

In these pdf worksheets, students determine dimensions of the decomposed shapes using the units on the X and Y axes, and calculate the area of the shaded portion of the figures displayed on the grids.

Related Worksheets

» Area of Triangles

» Area of Mixed Shapes

» Area of Circles

» Area of Quadrilaterals

» Area of Polygons

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Composite Area Worksheets

Related Topics: More Math Worksheets More Printable Math Worksheets More Grade 7 Math Lessons

Printable “Area” worksheets: Area of Rectangles Word Problems Area of Rectangles Word Problems (interactive) Area of Composite Rectangles Composite Area Worksheets (include circles)

Examples, solutions, videos, and worksheets to help Grade 7 students review how to solve composite area problems.

How to solve composite area problems?

Composite area problems involve finding the total area of a shape made up of multiple simple geometric figures (e.g., rectangles, triangles, circles). The key is to break down the composite shape into simpler parts, calculate the area of each part, and then combine these areas appropriately.

Here are the steps to solve composite area problems:

• Identify the Simple Shapes: Break down the composite shape into recognizable simple shapes such as rectangles, triangles, circles, semi-circles, etc.
• Calculate Individual Areas: Use the appropriate formulas to find the area of each simple shape.
• Combine the Areas: Sum the areas of the simple shapes if they are additive (part of the whole), or subtract the areas if necessary (such as holes or gaps).

Click on the following worksheet to get a printable pdf document. Scroll down the page for more Composite Area Worksheets .

More Composite Area Worksheets

Printable (Answers on the second page.) Composite Area Worksheet #1 Composite Area Worksheet #2 Composite Area Worksheet #3 Composite Area Worksheet #4

Related Lessons & Worksheets

Composite Area Problems

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Surface Area of Composite Figures

A composite solid is a solid that is composed, or made up of, two or more solids. The solids that it is made up of are generally prisms, pyramids, cones, and cylinders. In order to find the surface area of a composite solid, you need to know how to find the surface area of prisms, pyramids, cones, and cylinders.

To find the surface area of a composite 3D figure, add the areas of each geometric figure making up the composite 3D figure.

1. Separate the composite figure into all of its faces. Remember that there is no face where two figures join. 2. Find the area of each individual face. 3. Add all of the areas together. 4. Write the total surface area with the appropriate square units.

The top pyramid has two surfaces that are triangles with a height of 7 m and a base of 4 m. Its other two triangular surfaces have a height of 7 m and a base of 5 m.

= 63 m 2 for the top.

The bottom pyramid has two surfaces that are triangles with a height of 9 m and a base of 4 m. Its other two triangular surfaces have a height of 9 m and a base of 5 m.

= 81 m 2 for the top.

The total surface area is 63 m 2 + 81 m 2 = 144 m 2 . 

Practice Surface Area of Composite Figures

Practice Problem 1

Practice Problem 2

Practice Problem 3

Surface area: It is the sum of the areas of all the surfaces of a three-dimensional figure.

Lateral area: It is the surface area of the figure, excluding the area of the base(s) of a three-dimensional figure.

Composite solid – a shape composed of a combination of other 3d solids.

Pre-requisite Skills Nets of 3 Dimensional Figures Surface Area of Prisms Surface Area of Pyramids Surface Area of Cylinders Surface Area of Cones Measurement – Perimeter Measurement – Area Circumference and Area of Circles Surface Area of Rectangular Prisms

Related Skills Volume of Pyramids Volume of Prisms Volume of Spheres Volume of Cylinders Volume of Cones Volume of Rectangular Prisms Volume of Composite Figures

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Area of Composite Shapes | Compound Figures Worksheets

• Geometry >
• Composite Figures

Access our exclusive collection of area of composite shapes worksheets and take advantage of the lifehacks it provides to enhance the productivity and efficiency while finding the area of compound figures. Just as breaking a difficult task into simple activities is how it is best accomplished, partitioning complex shapes into simple geometric figures is how the job gets done here! Jumpstart your learning with our free worksheets!

Adding Regions

Instruct 7th-grade kids to decompose the composite figures (or compound shapes) into simple ones, find the areas of the simple shapes, and then add them together to determine the area of the shaded region.

Subtracting Regions

In these area of compound shapes pdfs , learners in grade 7 and grade 8 mentally work out the basic shapes involved, calculate the area of those geometric shapes individually, and subtract them to find the answer.

Adding and Subtracting Regions

See how effectively students in 8th grade and high school break down each composite shape, find the area of the individual geometric figures, and solve the illustrated problems in these area of composite shapes worksheets.

Finding Area of Rectangular Paths | Level 1

Split the shape into smaller rectangles, calculate the areas of the smaller rectangle, and add/subtract to find the area of the highlighted portion.

Finding Area of Rectangular Paths | Level 2

This bundle of printable worksheets has excellent practice in store for learners to find the area of rectangular paths.

Area of Rectilinear Figures

Watch how brilliantly students tackle this collection of printable worksheets! Young learners have to decompose the given figure into simple shapes to find the area of the rectilinear figure.

Related Printable Worksheets

▶ Area of Mixed 2-Dimensional Shapes

▶ Area of a Polygon

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Grade 7 (TX TEKS)

Course: grade 7 (tx teks)   >   unit 8.

• Area of a shaded region
• Shaded areas
• Area of composite figure with circles
• Area of composite figure with parallelograms

Find area of composite figures

• Your answer should be
• an integer, like 6 ‍  
• a simplified proper fraction, like 3 / 5 ‍  
• a simplified improper fraction, like 7 / 4 ‍  
• a mixed number, like 1   3 / 4 ‍  
• an exact decimal, like 0.75 ‍  
• a multiple of pi, like 12   pi ‍   or 2 / 3   pi ‍  

Area of Composite Figures Worksheets 7th Grade

Area of composite figures worksheets 7th grade is used to clarify concepts related to composite figures. The problems included in the worksheets are based on breaking down composite figures into simpler problems and then using the respective area formulas to solve the complete problem.

Benefits of Area of Composite Figures Worksheet 7th Grade Answer Key

Solving problems on composite figures can tend to get confusing if a student lacks visualization skills. To develop these skills, the best way is to solve several problems available in the area of composite figures worksheets 7th grade. This enables students to build a strong foundation for the topic. In addition to this, these grade 7 math worksheets help students to develop their analytical and logical thinking skills.

Printable PDFs for Grade 7 Area of Composite Figures Worksheets

The area of composite figures worksheets for 7th grade is easy to use, free to download, and available in PDF format.

• Math 7th Grade Area of Composite Figures Worksheet
• 7th Grade Area of Composite Figures Math Worksheet
• Seventh Grade Area of Composite Figures Worksheet
• Grade 7 Math Area of Composite Figures Worksheet

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How to Calculate the Area of Composite Figures

Computing the area of a composite figure requires breaking it down into its simpler components. Here’s a step-by-step process:

Step 1: Identify the Simple Shapes

Examine the composite figure and determine the individual shapes it comprises. For example, the composite shape given in the first picture includes a square, a right triangle and a quarter circle.

Step 2: Calculate the Area of Each Simple Shape

Using standard formulas for area calculation, find the area of each simple shape:

• Rectangle: Area = length × width
• Triangle: Area = 1/2 × base × height
• Quarter Circle: Area = 1/4 × π × (radius)^2

Step 3: Sum Up the Areas

Add the areas of all the simple shapes to get the total area of the composite figure.

Here is a list of the area formulas for basic shapes:

Practice Problems and Solutions

Problem 1: Find the area of the composite shape below

• Area of the square: 10^2 = 100 square units.
• Area of the triangle: 1/2 × 10 × (13 – 10) = 1/2 × 10 × 3 = 15 square units.
• Total Area: 100 + 15 = 115 square units.

Problem 2: A composite shape consists of a square and a right triangle with a total area of 200 square units. If the square’s area is 100 square units, find the triangle’s area.

• Area of the triangle: 200 − 100 = 100 square units.

How do you determine the area of composite figures?

To calculate the area of composite or irregularly shaped figures, start by breaking them down into simpler, non-overlapping shapes. Calculate the area of each of these simpler shapes individually using standard area formulas. Finally, sum up these areas to get the total area of the composite figure.

What are the steps to compute the area of composite shapes?

• Break down the composite shape into basic geometric shapes.
• Calculate the area of each basic shape separately.
• Sum the areas of all the basic shapes to obtain the total area of the composite shape.

What does it mean to decompose a composite figure?

Decomposing a composite figure involves breaking it down into two or more simpler, non-overlapping shapes. This process simplifies the calculation of the figure’s area or for analyzing its components.

Understanding how to calculate the area of composite figures is a valuable skill in both academic and real-world contexts. By breaking down complex figures into simpler shapes and summing their individual areas, we can accurately determine the total area. Keep practicing with different composite shapes to enhance your skills.

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Chapter 7, Lesson 3: Area of Composite Figures

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