## Engage NY Eureka Math 5th Grade Module 5 Lesson 10 Answer Key

### Eureka Math Grade 5 Module 5 Lesson 10 Problem Set Answer Key

Sketch the rectangles and your tiling. Write the dimensions and the units you counted in the blanks. Then, use multiplication to confirm the area. Show your work. We will do Rectangles A and B together.

Question 1.

Rectangle A:

Rectangle A is

________ units long _________ units wide

Area = ________ units^{2}

Answer:

3 units long 2 units wide

Area = 6 units ^{2}

Question 2.

Rectangle B:

Rectangle B is

________ units long _________ units wide

Area = ________ units^{2}

Answer:

3 units long 2 1/2 units wide

Area = 7 1/2 units ^{2}

Question 3.

Rectangle C:

Rectangle C is

________ units long _________ units wide

Area = ________ units^{2}

Answer:

5 units long 1 1/2 units wide

Area = 7 1/2 units^{2}

Question 4.

Rectangle D:

Rectangle D is

________ units long _________ units wide

Area = ________ units^{2}

Answer:

2 units long 1 3/4 units wide

Area = 3 1/2 units^{2}

Question 5.

Rectangle E:

Rectangle A is

________ units long _________ units wide

Area = ________ units^{2}

Answer:

5 units long 3/4 units wide

Area = 3 3/4 units^{2}

Question 6.

The rectangle to the right is composed of squares that measure 2\(\frac{1}{4}\) inches on each side. What is its area in square inches? Explain your thinking using pictures and numbers.

Answer:

Given, the measurement of side = 2 1/4

Area = 2 1/4 x 2 1/4

= 5 1/16 square inches

Total number of squares = 12

Now, 12 x 5 1/16

= 60 3/4 sq. inches

I counted the number of squars and multiplied with the area

Therefore, total area = 60 3/4 square inches

Question 7.

A rectangle has a perimeter of 35\(\frac{1}{2}\) feet. If the length is 12 feet, what is the area of the rectangle?

Answer:

Given, the perimeter of rectangle = 35 1/2 feet

length = 12 feet

Now, 35 1/2 – 12

= 11 1/2 feet

11 1/2 / 2 = 5 3/4 feet

So, area = 5 3/4 x 12

= 60 + 36/4

= 69 sq. feet

Therefore, the area of the rectangle = 69 sq. feet.

### Eureka Math Grade 5 Module 5 Lesson 10 Exit Ticket Answer Key

Emma tiled a rectangle and then sketched her work. Fill in the missing information, and multiply to find the area.

Emma’s Rectangle:

__________ units long _________ units wide

Area = __________ units^{2}

Answer:

2 1/2 units long 2 units wide

Area = 5 units^{2}

### Eureka Math Grade 5 Module 5 Lesson 10 Homework Answer Key

Question 1.

John tiled some rectangles using square units. Sketch the rectangles if necessary. Fill in the missing information, and then confirm the area by multiplying.

a. Rectangle A:

Rectangle A is

________ units long _________ units wide

Area = ________ units^{2}

Answer:

3 units long 2 1/2 units wide

Area = 7 1/2 units^{2}

b. Rectangle B:

Rectangle B is

________ units long _________ units wide

Area = ________ units^{2}

Answer:

2 1/4 units long 4 units wide

Area = 9 units^{2}

c. Rectangle C:

Rectangle C is

________ units long _________ units wide

Area = ________ units^{2}

Answer :

3/4 units long 4 units wide

Area = 3 units^{2}

d. Rectangle D:

Rectangle D is

________ units long _________ units wide

Area = ________ units^{2}

Answer:

2 units long 1 3/4 units wide

Area = 3 1/2 units^{2}

Question 2.

Rachel made a mosaic from different color rectangular tiles. Three tiles measured 3\(\frac{1}{2}\) inches × 3 inches. Six tiles measured 4 inches × 3\(\frac{1}{4}\) inches. What is the area of the whole mosaic in square inches?

Answer:

Given,

1. The number of tiles = 3

Measurement = 3 1/2 x 3

= 9 3/2

= 9 + 1 1/2 = 10 1/2

Now, 3 x 10 1/2 = 31 1/2 sq. inches

2.

Given, number of tiles = 6

Measurement = 4 x 3 1/4

= 12 + 4/4

= 13

Now, 6 x 13 =48 sq inches

The whole area of mosaic = 31 1/2 + 48

= 79 1/2

Therefore, total area = 79 1/2 square inches

Question 3.

A garden box has a perimeter of 27\(\frac{1}{2}\) feet. If the length is 9 feet, what is the area of the garden box?

Answer:

Given, the perimeter of garden box = 27 1/2

the length = 9 feet

27 1/2 – 18 = 9 1/2

9 1/2 / 2 = 9 1/2 x 1/2

19/2 x 1/2 = 19/4 = 4 3/4

Area = 9 x 4 3/4 = 36 + 27 / 4

= 36 +6 3/4

= 42 3/4

Therefore, total area of garden is 42 3/4 .