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?
HMH Into Math Grade 4 Module 9 Lesson 2 Answer Key Find the Area of Combined Rectangles 1
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.
HMH Into Math Grade 4 Module 9 Lesson 2 Answer Key Find the Area of Combined Rectangles 2

Answer:

B. Add the areas to find the total area.
___ + ___ = ____

Answer:

48 + 240 = 288 square feet.

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

Answer:

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?
HMH Into Math Grade 4 Module 9 Lesson 2 Answer Key Find the Area of Combined Rectangles 3
You can use subtraction to find the area of the combined rectangles.
A. Use the area formula to find the area of each rectangle.
HMH Into Math Grade 4 Module 9 Lesson 2 Answer Key Find the Area of Combined Rectangles 4

Answer:

B. Subtract the areas to find the area of the wall.
____ – ____ = ____

Answer:

48 – 6 = 42

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

Answer:

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.
HMH Into Math Grade 4 Module 9 Lesson 2 Answer Key Find the Area of Combined Rectangles 5
Answer:

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.
HMH Into Math Grade 4 Module 9 Lesson 2 Answer Key Find the Area of Combined Rectangles 6
Answer:

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.

 

On Your Own

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?
HMH Into Math Grade 4 Module 9 Lesson 2 Answer Key Find the Area of Combined Rectangles 7
Answer:

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?
HMH Into Math Grade 4 Module 9 Lesson 2 Answer Key Find the Area of Combined Rectangles 8

  • 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 ____________
Answer:

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

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.
HMH Into Math Grade 4 Module 9 Lesson 2 Answer Key Find the Area of Combined Rectangles 10
Answer:

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.
HMH Into Math Grade 4 Module 9 Lesson 2 Answer Key Find the Area of Combined Rectangles 11
Answer:

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.

 

On Your Own

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?
HMH Into Math Grade 4 Module 9 Lesson 2 Answer Key Find the Area of Combined Rectangles 12
Answer:

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.
Answer:

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

HMH Into Math Grade 4 Module 9 Lesson 2 Answer Key Find the Area of Combined Rectangles 13

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.
HMH Into Math Grade 4 Module 9 Lesson 2 Answer Key Find the Area of Combined Rectangles 13
Answer:

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.
HMH Into Math Grade 4 Module 9 Lesson 2 Answer Key Find the Area of Combined Rectangles 14
Answer:

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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