# Into Math Grade 4 Module 9 Lesson 2 Answer Key Find the Area of Combined Rectangles

We included HMH Into Math Grade 4 Answer Key PDF Module 9 Lesson 2 Find the Area of Combined Rectangles to make students experts in learning maths.

## HMH Into Math Grade 4 Module 9 Lesson 2 Answer Key Find the Area of Combined Rectangles

I Can find the area of a figure made of combined rectangles.

Step It Out

1. Brody and his dad are designing a tree house. The diagram shows the shape of the floor. What is the total area of the floor? You can use addition to find the total area of the combined rectangles.

A. Label each rectangle. Use the area formula to find the area of each rectangle.   B. Add the areas to find the total area.
___ + ___ = ____

48 + 240 = 288 square feet.

C. The total area of the floor of the treehouse in square feet (sq ft) is __________ .

The total area of the floor of the treehouse in square feet (sq ft) is 288 square feet.

Turn and Talk If a line is drawn to separate the figure in a different place, how does the area change?

Step It Out

2. Brody cut an opening for a window in the wall of the tree house. What is the area of the wall? You can use subtraction to find the area of the combined rectangles.
A. Use the area formula to find the area of each rectangle.   B. Subtract the areas to find the area of the wall.
____ – ____ = ____

48 – 6 = 42

C. The area of the wall is ___ square feet.

The area of the wall is 42 square feet.

Turn and Talk What is another way that you can find the area of the wall?

Check Understanding Math Board

Find the area of the shaded part of the figure.

Question 1. From the figure, Area of A  i.e total area = length x width

A = 13 x 9 = 117 square cm

Area of B = length x width

B = 4 x 4 = 16 square cm

Area of shaded region  = 117 – 16 = 101 square cm

Question 2.  From the figure,

Area of B i.e, total area= length x width

B = 10 x 9 = 90 square feet

Area of A = length x width

A = 5 x 7 = 35 square feet

Area of shaded region = 90 – 35 = 45 square feet.

Question 3.
Ari and his mom are putting wood flooring in a hallway. The shape of the hallway floor is shown in the diagram. What is the area of the hallway floor?  From the figure,

Area of A = length x width

A = 2 x 8 = 16 square m

Area of B = length x widh

B = 3 x 2 = 6 square m

total area = A + B = 16 + 6 = 22 square m

the area of the hallway floor is 22 square m.

Question 4.
Reason The floor of a parade float is a piece of wood in the shape shown. What is the area of the floor? • How can you separate the figure to help you find the area? ______
• What operations will you use to find the area? _________

The area of the floor is ____________ From the figure,

Area of A = length x width

A = 12 x 7 = 84 square feet

Area of B = Length x Width

B = 2 x 2 = 4 square feet

total area = 84 + 4 = 88 square feet

Therefore, the area of the floor is 88 square feet.

Question 5.
Construct Arguments Use the figure to describe two different ways that you can find the area. Then find the area.  From the figure,

Area of A = length x width

A = 3 x 5 = 15 square cm

Area of B = length x widh

B = 2 x 1 = 2 square cm

total area = A + B = 15 + 2 = 17 square cm.

Find the area of the figure.

Question 6.  From the figure,

Area of A = length x width

A = 3 x 6 = 18 square m

Area of B = length x widh

B = 3 x 2 = 6 square m

Area of C = length x width

C = 3 x 5 = 15 square m

total area = A + B + C = 18 + 6 + 15 = 39 square m

Question 7.  From the figure,

Area of A = length x width

A = 6 x 2 = 12 square feet

Area of B = Length x Width

B = 5 x 2 = 10 square feet

total area = 12 + 10 = 22 square feet.

Question 8.
Reason Eli is pouring a concrete floor in the kitchen of a restaurant. The diagram shows the shape of the floor. What is the total area of the floor?  From the figure,

Area of A = length x width

A = 3 x 2 = 6 square feet

Area of B = Length x Width

B = 4 x 6 = 24 square feet

Area of C = length x width

C = 1 x 2 = 2 square feet

total area = 6 + 24 + 2  = 32 square feet.

Question 9.
Open Ended Write a word problem that involves combined rectangles. Include a diagram and the total area.

Mr. Harvey wants to construct a hall as in the shape below. What is the total area of the hall? From the figure,

Area of A  i.e total area = length x width

A = 5 x 5 = 25 square cm

Area of B = length x width

B = 2 x 2 = 4 square cm

Area of shaded region  = 25 – 4 = 21 square cm.

Find the area of the shaded part of the figure.

Question 10.  From the figure,

Area of A  i.e total area = length x width

A = 5 x 5 = 25 square cm

Area of B = length x width

B = 2 x 2 = 4 square cm

Area of shaded region  = 25 – 4 = 21 square cm.

Question 11.  From the figure,

Area of A i.e, total area= length x width

A = 5 x 4 = 20 square in

Area of B = length x width

B = 1 x 3 = 3 square in

Area of shaded region = 20 – 3 = 17 square in.

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