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Lesson 8

Area of Composite Figures

Homework Helper

Find the area of the composite figure.

Break the composite figure into smaller parts. Look for rectangles.

12 ft

2 ft

Rectangle 110 + 2 = 12So, this length is 12 feet.

4 - 2 = 2So, this length is 2 feet.

10 ft

2 ft

Rectangle 2

Find the area of each part.

Rectangle 1 Rectangle 2A = � × w A = � × w

= 12 × 2 = 10 × 2= (10 × 2) + (2 × 2) Decompose 12 as 10 + 2. = 20= 20 + 4= 24

The area of Rectangle 1 is 24 square feet.

The area of Rectangle 2 is 20 square feet.

Add the areas.

24 + 20 = 44

The area of the composite figure is 44 square feet.

2 ft4 ft

10 ft

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Lesson 8 My Homework�801

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Measurement and Data

3.MD.5, 3.MD.7, 3.MD.7b, 3.MD.7d

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3. Draw an example of a composite figure.

Vocabulary Check

Problem Solving

The composite figure shows the floor plan of a bathroom.

4. What is the area of the bathroom floor?

5. 1 Plan Your Solution The floor will be covered in square tiles. If one square tile covers one square foot, how many tiles are needed?

4 ft8 ft

11 ft

7 ft

Test Practice 6. What is the area of the composite figure shown?

A 8 square units C 16 square units

B 12 square units D 20 square units

Practice

Find the area of each composite figure. Show your work.

1. 12 cm

4 cm

6 cm3 cm

2.

4 m

2 m

2 m

9 m

9 m

The area is square centimeters. The area is square meters.48 54

See students’ work.

72 square feet

72 tiles

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Vocab

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