## Eureka Math Grade 5 Module 5 Lesson 12 Answer Key

Engage ny eureka math 5th grade module 5 lesson 12 answer key, eureka math grade 5 module 5 lesson 12 problem set answer key.

2 x 2 = 4 sq. in.

1 x 1 = 1 sq. in.

Total = 4 + 1 = 5 square inches

1 + 3/4 + 3/4 + 9/16

= 1 + 12/16 + 12/16 + 9/16

= 3 1/6 square inches.

= 5 1/2 square inches

6 + 3/4 + 3/4 + 116

=7 5/16 square inches

Area = 6/4 + 3/8

= 12/8 + 3/8

= 1 7/8 square inches

Question 2. Find the area of rectangles with the following dimensions. Explain your thinking using the area model. a. 1 ft × 1\(\frac{1}{2}\) ft b. 1\(\frac{1}{2}\) yd × 1\(\frac{1}{2}\) yd c. 2\(\frac{1}{2}\) yd × 1\(\frac{1}{16}\) yd Answer:

1 ft x 1 1/2 feet

= 1 1/2 square feet

1 3/2 yd x 1 1/2 yd

= 1 + 1/2 +1/2 +1/4

= 1 + 2/4 + 2/4 +1/4

= 2 1/4 square yards

2 1/2 yards x 1 3/16

= 2 + 1/2 + 6/16 + 3/32

= 2 + 16/32 + 12/32 + 3/32

= 2 + 31/32

= 2 31/32 square yards

Question 3. Hanley is putting carpet in her house. She wants to carpet her living room, which measures 15 ft × 12\(\frac{1}{3}\) ft. She also wants to carpet her dining room, which is 10\(\frac{1}{4}\) ft × 10\(\frac{1}{3}\) ft. How many square feet of carpet will she need to cover both rooms? Answer:

The area of the living room :

15 x 12 1/3

= 185 square feet

The area of the dining room =

10 1/4 x 10 1/3

= 41/4 x 31/3

= 105 11/12 square feet

Total area = 185 + 105 11/12

= 290 11/12 square feet

Therefore, Hanley need 290 11/12 square feet of carpet to cover both the rooms.

Area = length x width

A = 3 1/4 x 3 1/4

= 13/4 x 13/4

Therefore, the area of the smaller square that fed cut out = 10 9/16

Area of the large square =

9 3/4 x 9 3/4

= 39/4 x 39/4

Now, 95 1/6 – 10 9/6 = 84 1/2 square inches

Therefore, The area of the remaining paper = 84 1/2 square inches.

## Eureka Math Grade 5 Module 5 Lesson 12 Exit Ticket Answer Key

The dimensions of the rectangle =

2 1/4 inches and 1 1/2 inches

= 2 1/4 x 1 1/2

= ( 2 x 1 ) + ( 2 x 1/2) + ( 1 x 1/4 ) + ( 1/4 x 1/2 )

= 2 + 1 + 1/4 + 1/8

= 3 3/8 square inches

## Eureka Math Grade 5 Module 5 Lesson 12 Homework Answer Key

1 3/4 x 3 1/2

= 3 + 2 1/4 + 1/2 + 3/8

= 3 + 2 2/8 + 4/8 + 3/8

= 6 1/8 square inches

3/4 x 2 1/4

= 1 1/2 + 3 /16

= 18/16 + 3/16

= 1 11/16 square inches

2 1/4 x 2 1/4

= 4 + 2/4 + 2/4 + 1/16

= 5 1/16 square inches

Area = 1 1/2 x 2 3/4

= 2 + 1 + 3/4 + 3/8

= 3 + 6/8 + 3/8

= 4 1/8 square inches

1/2 x 1 3/4

= 7/8 square inches

Question 2. Find the area of rectangles with the following dimensions. Explain your thinking using the area model. a. 2\(\frac{1}{4}\) yd × \(\frac{1}{4}\) yd b. 2\(\frac{1}{2}\) ft × 1\(\frac{1}{4}\) ft Answer:

2 1/4 x 1/4

= 2/4 +1/16

= 9/16 square yards

2 1/2 ft x 1 1/4 ft

= 2 + 2/4 + 1/2 + 1/8

= 3 1/8 square feet

Question 3. Kelly buys a tarp to cover the area under her tent. The tent is 4 feet wide and has an area of 31 square feet. The tarp she bought is 5\(\frac{1}{3}\) feet by 5\(\frac{3}{4}\) feet. Can the tarp cover the area under Kelly’s tent? Draw a model to show your thinking. Answer:

Given, the measurements of tent =

Area = 31 square feet and 4 feet wide

Now, its length =31/7

=7 3/4 feet

The measurements of tarp she bought =

5 1/3 feet by 5 3/4 feet

= 25 + 15/4 + 5/3 + 3/12

= 25 + 3 3/4+ 1 2/3 + 1/4

= 30 2/3 square feet

Therefore, the tarp cannot cover the area under the tent.

The area of the space with no carpet =

2 1/2 x 2 1/2

= 4 + 2/2+2/2 + 1/4

Therefore, the area of the space with no carpet = 6 1/4 square feet

The measurements of the room as given =

16 1/2 x 16 1/2

= 256 + 16/2 + 16/2 + 1/4

= 256 + 8 + 8+ 1/4

= 256 + 16 + 1/4

We know that, the area of space with no carpet = 6 1/4

Now, 272 1/4 – 6 1/4

= 266 square feet

Therefore, Shannon and Leslie need to buy 266 square feet of carpet.

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## Eureka Math Grade 5 Module 6 Lesson 12 Answer Key

Engage ny eureka math 5th grade module 6 lesson 12 answer key, eureka math grade 5 module 6 lesson 12 sprint answer key.

Question 1. 5 – 1 = Answer: 5 – 1 = 4

Question 2. 5.9 – 1 = Answer: 5.9 – 1 = 4.9 Explanation :

Question 3. 5.93 – 1 = Answer: 5.93 – 1 = 4.93 Explanation :

Question 4. 5.932 – 1 = Answer: 5.932 -1 = 4.932

Explanation :

Question 5. 5.932 – 2 = Answer: 5.932 – 2 = 3.932

Question 6. 5.932 – 4 = Answer: 5.932 – 4 = 1.932

Question 7. 0.5 – 0.1 = Answer: 0.5 – 0.1 = 0.4

Question 8. 0.53 – 0.1 = Answer: 0.53 – 0.1 = 0.43 Explanation :

Question 9. 0.539 – 0.1 = Answer: 0.539 – 0.1 = 0.439 Explanation :

Question 10. 8.539 – 0.1 = Answer: 8.539 – 0.1 = 8.439

Question 11. 8.539 – 0.2 = Answer:

Question 12. 8.539 – 0.4 = Answer: 8.539 – 0.4 = 8.139

Question 13. 0.05 – 0.01 = Answer: 0.05 – 0.01 = 0.04

Question 14. 0.057 – 0.01 = Answer: 0.057 – 0.01 =0.047

Question 15. 1.057 – 0.01 = Answer: 1.057 – 0.01 = 1.047 Explanation :

Question 16. 1.857 – 0.01 = Answer: 1.857 – 0.01 = 1.847 Explanation :

Question 17. 1.857 – 0.02 = Answer: 1.857 – 0.02 = 1.837

Question 18. 1.857 – 0.04 = Answer: 1.857 – 0.04 = 1.817

Question 19. 0.005 – 0.001 = Answer: 0.005 – 0.001 = 0.004 Explanation :

Question 20. 7.005 – 0.001 = Answer: 7.005 – 0.001 = 7.004 Explanation :

Question 21. 7.905 – 0.001 = Answer: 7.905 – 0.001 = 7.904

Question 22. 7.985 – 0.001 = Answer: 7.985 – 0.001 = 7.984

Question 23. 7.985 – 0.002 = Answer: 7.985 – 0.002 = 7.983

Question 24. 7.985 – 0.004 = Answer: 7.985 – 0.004 =7.981

Question 25. 2.7 – 0.1 = Answer: 2.7 – 0.1 = 2.6

Question 26. 2.785 – 0.1 = Answer: 2.785 – 0.1 = 2.775 Explanation :

Question 27. 2.785 – 0.5 = Answer: 2.785 – 0.5 = 2.285

Question 28. 4.913 – 0.4 = Answer: 4.913 – 0.4 = 4.513

Question 29. 3.58 – 0.01 = Answer: 3.58 – 0.01 = 3.47

Question 30. 3.586 – 0.01 = Answer: 3.586 – 0.01 = 3.576

Question 31. 3.586 – 0.05 = Answer: 3.586 – 0.05 = 3.536

Question 32. 7.982 – 0.04 = Answer: 7.982 – 0.04 = 7.942

Question 33. 6.126 – 0.001 = Answer: 6.126 – 0.001 = 6.125

Question 34. 6.126 – 0.004 = Answer: 6.126 – 0.004 = 6.122

Question 35. 9.348 – 0.006 = Answer: 9.348 – 0.006 = 9.342

Question 36. 8.347 – 0.3 = Answer: 8.347 – 0.3 = 8.047

Question 37. 9.157 – 0.05 = Answer: 9.157 – 0.05 = 9.107

Question 38. 6.879 – 0.009 = Answer: 6.879 – 0.009 = 6.870

Question 39. 6.548 – 2 = Answer: 6.548 – 2 = 6.348

Question 40. 6.548 – 0.2 = Answer: 6.548 – 0.2 = 6.348

Question 41. 6.548 – 0.02 = Answer: 6.548 – 0.02 = 6.528

Question 42. 6.548 – 0.002 = Answer: 6.548 – 0.002 = 6.546

Question 43. 6.196 – 0.06 = Answer: 6.196 – 0.06 = 6.136

Question 44. 9.517 – 0.004 = Answer: 9.517 – 0.004 = 9.513

Question 1. 6 – 1 = Answer: 6 – 1 = 5

Question 2. 6.9 – 1 = Answer: 6.9 – 1 = 5.9

Question 3. 6.93 – 1 = Answer: 6.93 – 1 = 5.93

Question 4. 6.932 – 1 = Answer: 6.932 – 1 = 5.932

Question 5. 6.932 – 2 = Answer: 6.932 – 2 = 4.932

Question 6. 6.932 – 4 = Answer: 6.932 – 4 = 2.932

Question 7. 0.6 – 0.1 = Answer: 0.6 – 0.1 = 0.5

Question 8. 0.63 – 0.1 = Answer: 0.63 – 0.1 = 0.53

Question 9. 0.639 – 0.1 = Answer: 0.639 – 0.1 = 0.539

Question 10. 8.639 – 0.1 = Answer: 8.639 – 0.1 = 8.539

Question 11. 8.639 – 0.2 = Answer: 8.639 – 0.2 = 8.439

Question 12. 8.639 – 0.4 = Answer: 8.639 – 0.4 = 8.239

Question 13. 0.06 – 0.01 = Answer: 0.06 – 0.01 = 0.05

Question 14. 0.067 – 0.01 = Answer: 0.067 – 0.01 = 0.057

Question 15. 1.067 – 0.01 = Answer: 1.067 – 0.01 = 1.057

Question 16. 1.867 – 0.01 = Answer: 1.867 – 0.01 = 1.857

Question 17. 1.867 – 0.02 = Answer: 1.867 – 0.02 = 1.847

Question 18. 1.867 – 0.04 = Answer: 1.867 – 0.04 = 1.827

Question 19. 0.006 – 0.001 = Answer: 0.006 – 0.001 = 0.005

Question 20. 7.006 – 0.001 = Answer: 7.006 – 0.001 = 7.005

Question 21. 7.906 – 0.001 = Answer: 7.906 – 0.001 = 7.905

Question 22. 7.986 – 0.001 = Answer: 7.986 – 0.001 = 7.985

Question 23. 7.986 – 0.002 = Answer: 7.986 – 0.002 = 7.984

Question 24. 7.986 – 0.004 = Answer: 7.986 – 0.004 = 7.982

Question 25. 3.7 – 0.1 = Answer: 3.7 – 0.1 = 3.6

Question 26. 3.785 – 0.1 = Answer: 3.785 – 0.1 = 3.685

Question 27. 3.785 – 0.5 = Answer: 3.785 – 0.5 = 3.285

Question 28. 5.924 – 0.4 = Answer: 5.924 – 0.4 = 5.524

Question 29. 4.58 – 0.01 = Answer: 4.58 – 0.01 = 4.57

Question 30. 4.586 – 0.01 = Answer: 4.586 – 0.01 = 4.576

Question 31. 4.586 – 0.05 = Answer: 4.586 – 0.05 = 4.536

Question 32. 6.183 – 0.04 = Answer: 6.183 – 0.04 =6.143

Question 33. 7.127 – 0.001 = Answer: 7.127 – 0.001 = 7.126

Question 34. 7.127 – 0.004 = Answer: 7.127 – 0.004 = 7.123

Question 35. 1.459 – 0.006 = Answer: 1.459 – 0.006 = 1.453

Question 36. 8.457 – 0.4 = Answer: 8.457 – 0.4 = 8.057

Question 37. 1.267 – 0.06 = Answer: 1.267 – 0.06 = 1.207

Question 38. 7.981 – 0.001 = Answer: 7.981 – 0.001 = 7.980

Question 39. 7.548 – 2 = Answer: 7.548 – 2 = 5.548

Question 40. 7.548 – 0.2 = Answer: 7.548 – 0.2 = 7.348

Question 41. 7.548 – 0.02 = Answer: 7.548 – 0.02 = 7.528

Question 42. 7.548 – 0.002 = Answer: 7.548 – 0.002 = 7.546

Question 43. 7.197 – 0.06 = Answer: 7.197 – 0.06 = 7.191

Question 44. 1.627 – 0.004 = Answer: 1.627 – 0.004 =1.623

## Eureka Math Grade 5 Module 6 Lesson 12 Problem Set Answer Key

b. Write a rule for a line that is parallel to \(\overleftrightarrow{B C}\) and goes through point (1, \(\frac{1}{4}\)). Answer: a. (0, \(\frac{3}{4}\)) and (2\(\frac{1}{2}\), 3\(\frac{1}{4}\)). Rule : add \(\frac{3}{4}\) to x . y = x + add \(\frac{3}{4}\)

Question 2. Create a rule for the line that contains the points (1, \(\frac{1}{4}\) and (3, \(\frac{3}{4}\)). a. Identify 2 more points on this line. Draw the line on the grid on the right.

b. Write a rule for a line that passes through the origin and lies between \(\overleftrightarrow{B C}\) and \(\overleftrightarrow{G H}\). Answer: a. Rule :Multiply x by \(\frac{1}{4}\) (1, \(\frac{1}{4}\) and (3, \(\frac{3}{4}\))

Question 3. Create a rule for a line that contains the point (\(\frac{1}{4}\), 1\(\frac{1}{4}\)) using the operation or description below. Then, name 2 other points that would fall on each line. a. Addition: _________

b. A line parallel to the x-axis: _________

c. Multiplication: _________

d. A line parallel to the y-axis: _________

e. Multiplication with addition: _________

a. Addition: add 1 to x

b. A line parallel to the x-axis: y is always 1\(\frac{1}{4}\).

c. Multiplication: multiply x by 5 .

d. A line parallel to the y-axis: x coordinate is always 4

e. Multiplication with addition: multiply x and add \(\frac{1}{4}\)

Explanation : Mrs. Boyd’s gave only one point (0.6, 1.8) on the line .Many lines can be drawn from one point . With 2 points we can say the rule but without 2 points we cannot say the rule.

b. Write a rule for a line that is parallel to \(\overleftrightarrow{O P}\) and goes through point (1, 2\(\frac{1}{2}\)). Answer: Rule : Multiply x by 2 and add 1 . a.

## Eureka Math Grade 5 Module 6 Lesson 12 Exit Ticket Answer Key

b. Write a rule for a line that is parallel to \(\overleftrightarrow{B C}\) and goes through point (1, \(\frac{1}{2}\)). Answer: Rule : add \(\frac{1}{2}\) to x .

b. The Rule that is parallel to \(\overleftrightarrow{B C}\) and goes through point (1, \(\frac{1}{2}\)) is Subtract \(\frac{1}{2}\) from x .

## Eureka Math Grade 5 Module 6 Lesson 12 Homework Answer Key

b. Write a rule for a line that is parallel to \(\overleftrightarrow{B C}\) and goes through point (1, 2\(\frac{1}{4}\). Answer: Rule : Add \(\frac{1}{4}\) to x .

Question 2. Give the rule for the line that contains the points (1, 2\(\frac{1}{2}\)) and (2\(\frac{1}{2}\), 2\(\frac{1}{2}\)). a. Identify 2 more points on this line. Draw the line on the grid above.

b. Write a rule for a line that is parallel to \(\overleftrightarrow{G H}\). Answer: a. Rule : For all x-coordinates the y- coordinate is 2\(\frac{1}{2}\)

Question 3. Give the rule for a line that contains the point (\(\frac{3}{4}\), 1\(\frac{1}{2}\)) using the operation or description below. Then, name 2 other points that would fall on each line. a. Addition: ________________

b. A line parallel to the x-axis: ________________

c. Multiplication: ________________

d. A line parallel to the y-axis: ________________

e. Multiplication with addition: _____________

a. Addition: add \(\frac{3}{4}\) to x

b. A line parallel to the x-axis: all x coordinate have y coordinate as 2

c. Multiplication: multiply by 2

d. A line parallel to the y-axis: All y coordinates have the same x coordinate 2

e. Multiplication with addition: multiply by 2 and add 1

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