lesson 14 homework 4.3 answer key eureka math

Eureka Math Grade 4 Module 6 Lesson 4 Answer Key

Engage ny eureka math 4th grade module 6 lesson 4 answer key, eureka math grade 4 module 6 lesson 4 sprint answer key.

Answer: 2/10 = 0.2, 3/10 = 0.3, 4/10 = 0.4, 8/10 = 0.8, 6/10 = 0.6, 0.1 = 1/10, 0.2 = 2/10, 0.3 = 3/10, 0.7 = 7/10, 0.5 = 5/10, 5/10 = 0.5, 0.8 = 8/10, 7/10 = 0.7, 0.4 = 4/10, 9/10 = 0.9, 10/10 = 1, 11/10 = 1.1, 12/10 = 1.2, 15/10 = 1.5, 25/10 = 2.5, 45/10 = 4.5, 38/10 = 3.8, 1 = 10/10, 2 = 20/10, 5 = 50/10, 4 = 40/10, 4.1 = 41/10, 4.2 = 42/10, 4.6 = 46/10, 2.6 = 26/10, 3.6 = 36/10, 3.4 = 34/10, 2.3 = 23/10, 43/10 = 4.3, 20/10 = 2, 1.8 = 18/10, 34/10 = 3.4, 50/10 = 5, 4.7 = 47/10, 28/10 = 2.8, 30/10 = 3, 3.2 = 32/10, 20/10 = 2, 2.1 = 21/10.

Question 1. \(\frac{2}{10}\) = 0.2

Answer: 2/10 = 0.2.

Explanation: In the above-given question, given that, \(\frac{2}{10}\). 2/10 = 0.2.

Question 2. \(\frac{3}{10}\) = 0.3

Answer: 3/10 = 0.3.

Explanation: In the above-given question, given that, \(\frac{3}{10}\). 3/10 = 0.3.

Question 3. \(\frac{4}{10}\) = 0.4

Answer: 4/10 = 0.4.

Explanation: In the above-given question, given that, \(\frac{4}{10}\). 4/10 = 0.4.

Question 4. \(\frac{8}{10}\) = 0.8

Answer: 8/10 = 0.8.

Explanation: In the above-given question, given that, \(\frac{8}{10}\). 8/10 = 0.8.

Question 5. \(\frac{6}{10}\) = 0.6

Answer: 6/10 = 0.6.

Explanation: In the above-given question, given that, \(\frac{6}{10}\). 6/10 = 0.6.

Question 6. 0.1 = \(\frac{}{10}\)

Answer: 1/10 = 0.1.

Explanation: In the above-given question, given that, \(\frac{1}{10}\). 1/10 = 0.1.

Question 7. 0.2 = \(\frac{}{10}\)

Question 8. 0.3 = \(\frac{}{10}\)

Question 9. 0.7 = \(\frac{}{10}\)

Answer: 7/10 = 0.7.

Explanation: In the above-given question, given that, \(\frac{7}{10}\). 7/10 = 0.7.

Question 10. 0.5 = \(\frac{}{10}\)

Answer: 5/10 = 0.5.

Explanation: In the above-given question, given that, \(\frac{5}{10}\). 5/10 = 0.5.

Question 11. \(\frac{5}{10}\) = 0.5

Question 12. 0.8 = \(\frac{}{10}\)

Question 13. \(\frac{7}{10}\) = 0.7

Question 14. 0.4 = \(\frac{}{10}\)

Question 15. \(\frac{9}{10}\) = 0.9

Answer: 9/10 = 0.9.

Explanation: In the above-given question, given that, \(\frac{9}{10}\). 9/10 = 0.9.

Question 16. \(\frac{10}{10}\) = 1

Answer: 10/10 = 1.

Explanation: In the above-given question, given that, \(\frac{10}{10}\). 10/10 = 1.

Question 17. \(\frac{11}{10}\) = 1.1

Answer: 11/10 = 1.1.

Explanation: In the above-given question, given that, \(\frac{11}{10}\). 11/10 = 1.1.

Question 18. \(\frac{12}{10}\) = 1.2

Answer: 12/10 = 1.2.

Explanation: In the above-given question, given that, \(\frac{12}{10}\). 12/10 = 1.2.

Question 19. \(\frac{15}{10}\) = 1.5.

Answer: 15/10 = 1.5.

Explanation: In the above-given question, given that, \(\frac{15}{10}\). 15/10 = 1.5.

Question 20. \(\frac{25}{10}\) = 2.5.

Answer: 25/10 = 2.5.

Explanation: In the above-given question, given that, \(\frac{25}{10}\). 25/10 = 2.5.

Question 21. \(\frac{45}{10}\) = 4.5.

Answer: 45/10 = 4.5.

Explanation: In the above-given question, given that, \(\frac{45}{10}\). 45/10 = 4.5.

Question 22. \(\frac{38}{10}\) = 3.8.

Answer: 38/10 = 3.8.

Explanation: In the above-given question, given that, \(\frac{38}{10}\). 38/10 = 3.8.

Question 23. 1 = \(\frac{}{10}\)

Question 24. 2 = \(\frac{}{10}\)

Answer: 20/10 = 2.

Explanation: In the above-given question, given that, \(\frac{20}{10}\). 20/10 = 2.

Question 25. 5 = \(\frac{}{10}\)

Answer: 50/10 = 5.

Explanation: In the above-given question, given that, \(\frac{50}{10}\). 50/10 = 5.

Question 26. 4 = \(\frac{}{10}\)

Answer: 40/10 = 4.

Explanation: In the above-given question, given that, \(\frac{40}{10}\). 40/10 = 4.

Question 27. 4.1 = \(\frac{}{10}\)

Answer: 41/10 = 4.1.

Explanation: In the above-given question, given that, \(\frac{41}{10}\). 41/10 = 4.1.

Question 28. 4.2 = \(\frac{}{10}\)

Answer: 42/10 = 4.2.

Explanation: In the above-given question, given that, \(\frac{42}{10}\). 42/10 = 4.2.

Question 29. 4.6 = \(\frac{}{10}\)

Answer: 46/10 = 4.6.

Explanation: In the above-given question, given that, \(\frac{46}{10}\). 46/10 = 4.6.

Question 30. 2.6 = \(\frac{}{10}\)

Answer: 26/10 = 2.6.

Explanation: In the above-given question, given that, \(\frac{26}{10}\). 26/10 = 2.6.

Question 31. 3.6 = \(\frac{}{10}\)

Answer: 36/10 = 3.6.

Explanation: In the above-given question, given that, \(\frac{36}{10}\). 36/10 = 3.6.

Question 32. 3.4 = \(\frac{}{10}\)

Answer: 34/10 = 3.4.

Explanation: In the above-given question, given that, \(\frac{34}{10}\). 34/10 = 3.4.

Question 33. 2.3 = \(\frac{}{10}\)

Answer: 23/10 = 2.3.

Explanation: In the above-given question, given that, \(\frac{23}{10}\). 23/10 = 2.3.

Question 34. 4\(\frac{3}{10}\) = 4.3.

Answer: 43/10 = 4.3.

Explanation: In the above-given question, given that, \(\frac{43}{10}\). 43/10 = 4.3.

Question 35. \(\frac{20}{10}\) = 2.

Question 36. 1.8 = \(\frac{}{10}\)

Answer: 18/10 = 1.8.

Explanation: In the above-given question, given that, \(\frac{18}{10}\). 18/10 = 1.8.

Question 37. 3\(\frac{4}{10}\) = 3.4.

Question 38. \(\frac{50}{10}\) = 5.

Question 39. 4.7 = \(\frac{}{10}\)

Answer: 47/10 = 4.7.

Explanation: In the above-given question, given that, \(\frac{47}{10}\). 47/10 = 4.7.

Question 40. 2\(\frac{8}{10}\) = 2.8.

Answer: 28/10 = 2.8.

Explanation: In the above-given question, given that, \(\frac{28}{10}\). 28/10 = 2.8.

Question 41. \(\frac{30}{10}\) = 3.

Answer: 30/10 = 3.

Explanation: In the above-given question, given that, \(\frac{30}{10}\). 30/10 = 3.

Question 42. 3.2 = \(\frac{}{10}\)

Answer: 32/10 = 3.2.

Explanation: In the above-given question, given that, \(\frac{32}{10}\). 32/10 = 3.2.

Question 43. \(\frac{20}{10}\) = 2.

Question 44. 2.1 = \(\frac{}{10}\)

Answer: 21/10 = 2.1.

Explanation: In the above-given question, given that, \(\frac{21}{10}\). 21/10 = 2.1.

Answer: 1/10 = 0.1, 2/10 = 0.2, 3/10 = 0.3, 7/10 = 0.7, 5/10 = 0.5, 0.2 = 2/10, 0.3 = 3/10, 0.4 = 4/10, 0.8 = 8/10, 0.6 = 6/10, 4/10 = 0.4, 0.9 = 9/10, 6/10 = 0.6, 0.5 = 5/10, 9/10 = 0.9, 10/10 = 1, 11/10 = 1.1, 12/10 = 1.2, 17/10 = 1.7, 27/10 = 2.7, 47/10 = 4.7, 34/10 = 3.4, 1 = 10/10, 2 = 20/10, 4 = 40/10, 3 = 30/10, 3.1 = 31/10, 3.2 = 32/10, 3.6 = 36/10, 1.6 = 16/10, 2.6 = 26/10, 4.2 = 42/10, 2.5 = 25/10, 34/10 = 3.4, 20/10 = 2, 4.6 = 46/10, 24/10 = 2.4, 40/10 = 4, 2.3 = 23/10, 30/10 = 3, 4.1 = 41/10.

Question 1. \(\frac{1}{10}\) = 0.1.

Question 2. \(\frac{2}{10}\) = 0.2.

Question 3. \(\frac{3}{10}\) = 0.3.

Question 4. \(\frac{7}{10}\) = 0.7.

Question 5. \(\frac{5}{10}\) = 0.5.

Question 6. 0.2 = \(\frac{}{10}\)

Question 7. 0.3 = \(\frac{}{10}\)

Question 8. 0.4 = \(\frac{}{10}\)

Question 9. 0.8 = \(\frac{}{10}\)

Question 10. 0.6 = \(\frac{}{10}\)

Question 11. \(\frac{4}{10}\) = 0.4

Question 12. 0.9 = \(\frac{}{10}\)

Question 13. \(\frac{6}{10}\) = 0.6.

Question 14. 0.5 = \(\frac{}{10}\)

Question 15. \(\frac{9}{10}\) = 0.9.

Question 16. \(\frac{10}{10}\) =1.

Question 17. \(\frac{11}{10}\) = 1.1.

Question 18. \(\frac{12}{10}\) = 1.2.

Question 19. \(\frac{17}{10}\) = 1.7.

Answer: 17/10 = 1.7.

Explanation: In the above-given question, given that, \(\frac{17}{10}\). 17/10 = 1.7.

Question 20. \(\frac{27}{10}\) = 2.7.

Answer: 27/10 = 2.7.

Explanation: In the above-given question, given that, \(\frac{27}{10}\). 27/10 = 2.7.

Question 21. \(\frac{47}{10}\) = 4.7.

Question 22. \(\frac{34}{10}\) = 3.4.

Question 25. 4 = \(\frac{}{10}\)

Question 26. 3 = \(\frac{}{10}\)

Question 27. 3.1 = \(\frac{}{10}\)

Answer: 31/10 = 3.1.

Explanation: In the above-given question, given that, \(\frac{31}{10}\). 31/10 = 3.1.

Question 28. 3.2 = \(\frac{}{10}\)

Question 29. 3.6 = \(\frac{}{10}\)

Question 30. 1.6 = \(\frac{}{10}\)

Answer: 16/10 = 1.6.

Explanation: In the above-given question, given that, \(\frac{16}{10}\). 16/10 = 1.6.

Question 31. 2.6 = \(\frac{}{10}\)

Question 32. 4.2 = \(\frac{}{10}\)

Question 33. 2.5 = \(\frac{}{10}\)

Question 34. 3\(\frac{4}{10}\) = 3.4.

Question 35. \(\frac{50}{10}\) = 5.

Question 36. 1.7 = \(\frac{}{10}\)

Question 37. 4\(\frac{3}{10}\) = 4.3.

Question 38. \(\frac{20}{10}\) = 2.

Question 39. 4.6 = \(\frac{}{10}\)

Question 40. 2\(\frac{4}{10}\) =2.4.

Answer: 24/10 = 2.4.

Explanation: In the above-given question, given that, \(\frac{24}{10}\). 24/10 = 2.4.

Question 41. \(\frac{40}{10}\) = 4.

Question 42. 2.3 = \(\frac{}{10}\)

Question 43. \(\frac{30}{10}\) = 3.

Question 44. 4.1 = \(\frac{}{10}\)

Eureka Math Grade 4 Module 6 Lesson 4 Problem Set Answer Key

Answer: a.The length of the shaded part of the meter stick in centimeters = 1cm. b. 1/10 fraction of a meter is 1 centimeter. c. The length of the shaded portion of the meter stick = 1/10. d. decimal form = 0.1. e. 1/10 fraction of a meter is 10 centimeters.

Explanation: In the above-given question, given that, 1 meter = 10 centimeters. a.The length of the shaded part of the meter stick in centimeters = 1cm. b. 1/10 fraction of a meter is 1 centimeter. c. The length of the shaded portion of the meter stick = 1/10. d. decimal form = 0.1. e. 1/10 fraction of a meter is 10 centimeters.

Question 2. Fill in the blanks. a. 1 tenth = __10__ hundredths b. \(\frac{1}{10}\)m = \(\frac{}{10}\)m c. \(\frac{2}{10}\)m = \(\frac{20}{}\)m

Answer: a. 1 tenth = 10 hundredths. b. 1/10 = 10/10. c. 2/10 = 20/100.

Explanation: In the above-given question, given that, a. 1 tenth = 10 hundredths. b. 1/10 = 10/10. c. 2/10 = 20/100.

Answer: 0.24 m.

Answer: 0.38 m.

Answer: 0.84 m.

Explanation: In the above-given question, given that, \(\frac{8}{10}\)m + \(\frac{4}{100}\)m = \(\frac{84}{100}\)m = 0.84m 8/10 = 0.8. 4/100 = 0.04. 0.8 + 0.04 = 0.84 m

Answer: 0.17 m.

Explanation: In the above-given question, given that, \(\frac{1}{10}\)m + \(\frac{7}{100}\)m = \(\frac{17}{100}\)m = 0.17m 1/10 = 0.1. 7/100 = 0.07. 0.1 + 0.07 = 0.17 m

Answer: 0.19 m.

Explanation: In the above-given question, given that, \(\frac{1}{10}\)m + \(\frac{9}{100}\)m = \(\frac{19}{100}\)m = 0.19m 1/10 = 0.1. 9/100 = 0.09. 0.1 + 0.09 = 0.19 m.

Question 5. Draw a number bond, pulling out the tenths from the hundredths as in Problem 3. Write the total as the equivalent decimal. a. \(\frac{19}{100}\)m b. \(\frac{28}{100}\)m c. \(\frac{77}{100}\) m d. \(\frac{94}{100}\)m

Answer: a. 0.19 m.

Answer: b. 0.28 m.

Answer: c. 0.77 m.

Answer: 0.94 m.

Eureka Math Grade 4 Module 6 Lesson 4 Exit Ticket Answer Key

Answer: 0.6 m.

Explanation: In the above-given question, given that, \(\frac{6}{10}\)m  = 0.6m 6/10 = 0.6.

Question 2. Draw a number bond, pulling out the tenths from the hundredths. Write the total as the equivalent decimal. a. \(\frac{62}{100}\)m b. \(\frac{27}{100}\)

Answer: a.0.62 m.

Answer: b.0.27 m.

Eureka Math Grade 4 Module 6 Lesson 4 Homework Answer Key

Answer: a.The length of the shaded part of the meter stick in centimeters = 3cm. b. 1/30 fraction of a meter is 3 centimeters. c. The length of the shaded portion of the meter stick = 1/30. d. decimal form = 0.03. e. 1/30 fraction of a meter is 30 centimeters.

Explanation: In the above-given question, given that, 1 meter = 100 centimeters. a.The length of the shaded part of the meter stick in centimeters = 3cm. b. 1/30 fraction of a meter is 3 centimeters. c. The length of the shaded portion of the meter stick = 1/30. d. decimal form = 0.03. e. 1/30 fraction of a meter is 30 centimeters.

Question 2. Fill in the blanks. a. 5 tenths = __50__ hundredths b. \(\frac{5}{10}\)m = \(\frac{}{100}\)m c. \(\frac{4}{10}\)m = \(\frac{40}{}\) m

Answer: a. 5 tenth = 50 hundredths. b. 5/10 = 50/100. c. 4/10 = 40/100.

Explanation: In the above-given question, given that, a. 5 tenth = 50 hundredths. b. 5/10 = 50/10. c. 4/10 = 40/100.

Answer: 0.46 m.

Answer: 0.15 m.

Explanation: In the above-given question, given that, \(\frac{1}{10}\)m + \(\frac{5}{100}\)m = \(\frac{15}{100}\)m = 0.15m 1/10 = 0.1. 5/100 = 0.05. 0.1 + 0.05 = 0.15 m

Answer: 0.41 m.

Question 5. Draw a number bond, pulling out the tenths from the hundredths, as in Problem 3 of the Homework. Write the total as the equivalent decimal. a. \(\frac{23}{100}\)m b. \(\frac{38}{100}\)m c. \(\frac{82}{100}\)m d. \(\frac{76}{100}\)m

Answer: a.0.23 m.

Answer: b. 0.38 m.

Answer: c. 0.82 m.

Answer: d. 0.76 m.

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Lesson 3 Homework Answer Key

• 28 Jul 2023
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Eureka Math Grade 4 Module 3 Lesson 1 Answer Key

Engage ny eureka math 4th grade module 3 lesson 1 answer key, eureka math grade 4 module 3 lesson 1 problem set answer key.

Answer: a. A = 63 cm 2 , A = 54 cm 2 ,

Explanation: As shown in figure A length = 9 cm , breadth = 7 cm, Area of rectangle is = l × b = 9 cm × 7 cm = 63 square cm, and in figure B length = 6 cm , breadth = 9 cm, Area of rectangle is = l × b = 6 cm × 9 cm = 54 square cm.

b. P = 32 cm,  P = 30 cm,

Explanation: As shown in figure A length = 9 cm , breadth = 7 cm, Perimeter of rectangle is =2 × (l + b) = 2(9 cm + 7 cm) = 2 × (16 cm) = 32 cm, and in figure B length = 6 cm , breadth = 9 cm, Perimeter of rectangle is =2 × (l + b) = 2 × (6 cm + 9 cm) = 2 × (15 cm) = 30 cm.

Explanation: Given length = 5 cm and breadth = 6 cm, Perimeter of rectangle is =2 × (l + b) = 2 × (5 cm + 6 cm) = 2 × (11 cm) = 22 cm, Area of rectangle is = l × b = 5 cm × 6 cm = 30 square cm.

Explanation: Given length = 8 cm and breadth = 3 cm, Perimeter of rectangle is =2 × (l + b) = 2 × (8 cm + 3 cm) = 2 × (11 cm) = 22 cm, Area of rectangle is = l × b = 8 cm × 3 cm = 24 square cm.

Explanation: Given length = 99 m and breadth = 166 m, Perimeter of rectangle is =2 × (l + b) = 2 × (99 m + 166 m) = 2 × ( 265 m) = 530 m.

Explanation: Given length = 75 cm and breadth = 1 m 50 cm, we know 1 m = 100 cm , so breadth =  1 × 100 cm + 50 cm =150 cm, Perimeter of rectangle is =2 × (l + b) = 2 × (75 cm + 150 cm) = 2 × (225 cm) = 450 cm.

Explanation: Given width of rectangle as 8 cm and area as 80 square cm, and unknow side length is x cm, we know area of rectangle is length × breadth, So 80 sq cm = 8 cm × x cm, So x cm = 80 sq cm ÷ 8 cm = 10 cm, therefore unknown side length = 10 cm.

Explanation: Given width of rectangle as 7 cm and area as 49 square cm, and unknow side length is x cm, we know area of rectangle is length × breadth, So 49 sq cm = 7 cm × x cm, So x cm = 49 sq cm ÷ 7 cm = 7 cm, therefore unknown side length = 7 cm.

Explanation: Given width of rectangle as 20 cm and perimeter as 120 cm, and unknow side length is x cm, we know perimeter of rectangle is 2 × (length + breadth), So 120 cm = 2 × (x cm + 20 cm), 120 cm ÷ 2 = (x cm + 20 cm), 60 cm = (x cm + 20 cm), So x cm = 60 cm – 20 cm = 40 cm, therefore unknown side length = 40 cm.

Explanation: Given length of rectangle as 250 m and perimeter as 1000 m, and unknow side width is x m, we know perimeter of rectangle is 2 × (length + breadth), So 1000 m = 2 × (250 m + x m), 1000 m ÷ 2 = (250 m + x m ), 500 m = 250 m + x m , So x m = 500 m – 250 m = 250 m, therefore unknown side length = 250 m.

Explanation: Given area = 24 square cm and perimeter = 20 cm of rectangles, lets take length as l and width as w and we know area of rectangle = length × width , 24 sq cm = l × w and perimeter = 2 × (length + width) , 20 cm = 2 × ( l + w), l + w = 20 cm ÷ 2 =10 cm, so l = 10 cm – w, now 24 = (10 – w) × w, we get w 2 – 10 w + 24 = 0, So w 2 – 6 w – 4 w + 24 = 0, w(w – 6) – 4(w – 6) = 0, therefore w = 6 cm or w = 4 cm, So l = 10 cm – 6 cm = 4 cm or l = 10 cm  – 4 cm = 6 cm, Therfore, If length of rectangle is 4 cm then width is 6 cm or length of rectangle is 6 cm then width is 4 cm.

Explanation: Given area = 24 square m and perimeter = 28 m of rectangles, lets take length as l and width as w and we know area of rectangle = length X width , 24 sq m = l X w and perimeter = 2 × (length + width) , 28 m = 2 × ( l + w), l + w = 28 m ÷ 2 =14 m, so l = 14 m – w, now 24 = (14 – w) × w, we get w 2 – 14 w + 24 = 0, So w 2 – 12 w – 2 w + 24 = 0, w(w – 12) – 2(w – 12) = 0, therefore w = 12 m or w = 2 m, So l = 14 m – 12 m = 2 m or l = 14 m – 2 m = 12 m, Therfore, If length of rectangle is 2 m then width is 12 m or length of rectangle is 12 m then width is 2 m.

Eureka Math Grade 4 Module 3 Lesson 1 Exit Ticket Answer Key

Explanation: Given length = 8 cm and breadth = 2 cm, Area of rectangle is = l × b = 8 cm × 2 cm = 16 square cm, Perimeter of rectangle is =2 × (l + b) = 2 × (8 cm + 2 cm) = 2 × (10 cm) = 20 cm.

Explanation: Given length = 347 m and breadth = 99 m, Perimeter of rectangle is =2 × (l + b) = 2 × (347 m + 99 m) = 2 × (446 m) = 892 m.

Eureka Math Grade 4 Module 3 Lesson 1 Homework Answer Key

Explanation: As shown in figure A length = 8 cm , breadth = 5 cm, Area of rectangle is = l × b = 8 cm × 5 cm = 40 square cm, and in figure B length = 5 cm , breadth = 7 cm, Area of rectangle is = l × b = 5 cm × 7 cm = 35 square cm,

b. P = 26 cm,  P = 24 cm,

Explanation: As shown in figure A length = 8 cm , breadth = 5 cm, Perimeter of rectangle is =2 × (l + b) = 2(8 cm + 5 cm) = 2 × (13 cm) = 26 cm, and in figure B length = 5 cm , breadth = 7 cm, Perimeter of rectangle is =2 × (l + b) = 2 × (5 cm + 7 cm) = 2 × (12 cm) = 24 cm.

Explanation: Given length = 7 cm and breadth = 3 cm, Perimeter of rectangle is =2 × (l + b) = 2 × (7 cm + 3 cm) = 2 × (10 cm) = 20 cm, Area of rectangle is = l × b = 7 cm × 3 cm = 21 square cm,

Explanation: Given length = 9 cm and breadth = 4 cm, Perimeter of rectangle is =2 × (l + b) = 2 × (9 cm + 4 cm) = 2 × (13 cm) = 26 cm, Area of rectangle is = l × b = 9 cm × 4 cm = 36 square cm,

Explanation: Given length = 76 m and breadth = 149 m, Perimeter of rectangle is =2 × (l + b) = 2 × (76 m + 149 cm) = 2 × ( 425 m) = 850 m.

Explanation: Given length = 45 cm and breadth = 2 m 10 cm, we know 1 m = 100 cm , so breadth =  2 × 100 cm + 10 cm = 200 cm + 10 cm = 210 cm, Perimeter of rectangle is =2 × (l + b) = 2 × (45 cm + 210 cm) = 2 × (255 cm) = 510 cm.

Explanation: Given width of rectangle as 6 cm and area as 60 square cm, and unknow side length is x cm, we know area of rectangle is length × breadth, So 60 sq cm = 6 cm × x cm, So x cm = 60 sq cm ÷ 6 cm = 10 cm, therefore unknown side length = 10 cm.

Explanation: Given width of rectangle as 5 m and area as 25 square m, and unknown side length is x m, we know the area of the rectangle is length × breadth, So 25 sq m = 5 m × x m, So x m = 25 sq m ÷ 5 m = 5 m, therefore unknown side length = 5 m.

Explanation: Given width of rectangle as 40 cm and perimeter as 180 cm, and unknow side length is x cm, we know perimeter of rectangle is 2 × (length + breadth), So 180 cm = 2 × (x cm + 40 cm), 180 cm ÷ 2 = (x cm + 40 cm), 90 cm = (x cm + 40 cm), So x cm = 90 cm – 40 cm = 50 cm, therefore unknown side length = 50 cm.

Explanation: Given length of rectangle as 150 m and perimeter as 1000 m, and unknow side width is x m, we know perimeter of rectangle is 2 X (length + breadth), So 1000 m = 2 X (150 m + x m), 1000 m ÷ 2 = (150 m + x m ), 500 m = 150 m + x m , So x m = 500 m – 150 m = 350 m, therefore unknown side length = 350 m.

Explanation: Given area = 32 square cm and perimeter = 24 cm of rectangles, lets take length as l and width as w and we know area of rectangle = length X width , 32 sq cm = l X w and perimeter = 2 × (length + width) , 24 cm = 2 × ( l + w), l + w = 24 cm ÷ 2 =12 cm, so l = 12 cm – w, now 32 = (12 – w) × w, we get w 2 – 12 w + 32 = 0, So w 2 – 8 w – 4 w + 32 = 0, w(w – 8) – 4(w – 8) = 0, therefore w = 8 cm or w = 4 cm, So l = 12 cm – 8 cm = 4 cm or l = 12 cm  – 4 cm = 8 cm, Therfore, If length of recatangle is 4 cm then width is 8 cm or length of rectangle is 8 cm then width is 4 cm.

Explanation: Given area = 36 square m and perimeter = 30 m of rectangles, lets take length as l and width as w and we know area of rectangle = length X width , 36 sq m = l X w and perimeter = 2 × (length + width) , 30 m = 2 × ( l + w), l + w = 30 m ÷ 2 =15 m, so l = 15 m – w, now 36 = (15 – w) X w, we get w 2 – 15 w + 36 = 0, So w 2 – 12 w – 3 w + 24 = 0, w(w – 12) – 3(w – 12) = 0, therefore w = 12 m or w = 3 m, So l = 15 m – 12 m = 3 m or l = 15 m – 3 m = 12 m, Therfore, If length of rectangle is 3 m then width is 12 m or length of rectangle is 12 m then width is 3 m.

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