## Engage NY Eureka Math 3rd Grade Module 4 End of Module Assessment Answer Key

### Eureka Math Grade 3 Module 4 End of Module Assessment Answer Key

Question 1.

Sarah says the rectangle on the left has the same area as the sum of the two on the right. Pam says they do not have the same areas. Who is correct? Explain using numbers, pictures, and words.

Answer:

Sarah was correct.

Explanation:

In the above-given question,

given that,

the area of the left rectangle = l x b.

area = 5 x 7.

area = 35 sq cm.

the area of the right rectangle 1 = l x b.

area = l x b.

area = 4 x 5.

area = 20 sq cm.

the area of the right rectangle 2 = l x b.

area = l x b.

area = 3 x 5.

area = 15 sq cm.

35 = 20 + 15.

35 = 35.

the area of the left rectangle = sum of the two rectangles on the right.

Question 2.

Draw three different arrays that you could make with 36 square inch tiles. Label the side lengths on each of your arrays. Write multiplication sentences for each array to prove that the area of each array is 36 square inches.

Answer:

The side lengths of the different arrays = 9 x 4, 4 x 9, 6 x 6.

Explanation:

In the above-given question,

given that,

the area of the rectangle 1 = 36 sq in.

area = l x b.

area = 9 x 4.

the area of the rectangle 2 = 36 sq in.

area = l x b.

area = 4 x 9.

the area of the rectangle 3 = 36 sq in.

area = l x b.

area = 6 x 6.

Question 3.

Mr. and Mrs. Jackson are buying a new house. They are deciding between the two floor plans below.

Which floor plan has the greater area? Show how you found your answer on the drawings above. Show your calculations below.

Answer:

The area of the shaded figure = 102 sq m.

Explanation:

In the above-given question,

given that,

area of longer rectangle = 120 sq m.

area = l x b.

area = 12 x 10.

area = 120 sq m.

area of longer rectangle 2 = 36 sq m.

area = l x b.

area = 12 x 3.

area = 36 sq m.

area of smaller rectangle = 18 sq m.

area = l x b.

area = 6 x 3.

area = 18 sq cm.

area of shaded rectangle = area of longer rectangle – area of smaller rectangle.

area of shaded rectangle = 120 – 18.

area of shaded figure = 102.

area of longer rectangle = 48 sq m.

area = l x b.

area = 12 x 4.

area = 48 sq m.

area of longer rectangle 2 = 27 sq m.

area = l x b.

area = 9 x 3.

area = 27 sq m.

area of smaller rectangle = 9 sq m.

area = l x b.

area = 3 x 3.

area = 9 sq cm.

House A has a greater area.

Question 4.

Superior Elementary School uses the design below for their swimming pool. Shapes A, B, and C are rectangles.

a. Label the side lengths of Rectangles A and B on the drawing.

Answer:

The side lengths of Rectangle A = 7 m x 3 m.

The side lengths of Rectangle B = 10 m x 3 m.

The side lengths of Rectangle C = 10 m x 6 m.

Explanation:

In the above-given question,

given that,

the area of the rectangle A = 21 sq m.

area = 7 x 3.

area = 21 sq m.

the area of the rectangle B = 30 sq m.

area = 10 x 3.

area = 30 sq m.

the area of the rectangle C = 60 sq m.

area = 10 x 6.

area = 60 sq m.

b. Find the area of each rectangle.

Answer:

The side lengths of Rectangle A = 7 m x 3 m.

The side lengths of Rectangle B = 10 m x 3 m.

The side lengths of Rectangle C = 10 m x 6 m.

Explanation:

In the above-given question,

given that,

the area of the rectangle A = 21 sq m.

area = 7 x 3.

area = 21 sq m.

the area of the rectangle B = 30 sq m.

area = 10 x 3.

area = 30 sq m.

the area of the rectangle C = 60 sq m.

area = 10 x 6.

area = 60 sq m.

c. Find the area of the entire pool. Explain how you found the area of the pool.

Answer:

The area of the entire pool = 111 sq m.

Explanation:

In the above-given question,

given that,

the area of the rectangle A = 21 sq m.

area = 7 x 3.

area = 21 sq m.

the area of the rectangle B = 30 sq m.

area = 10 x 3.

area = 30 sq m.

the area of the rectangle C = 60 sq m.

area = 10 x 6.

area = 60 sq m.