Unit A Homework
Unit A Homework
Unit A Homework
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<strong>Homework</strong><br />
Geometry & Probability<br />
<strong>Unit</strong> A<br />
Name<br />
Date<br />
Period<br />
<br />
Lesson 5- Area of Composite Figures<br />
To find the area of a composite figure, decompose the figure into shapes whose areas you know how<br />
to find. Then find the sum of these areas.<br />
Example<br />
Find the area of the composite figure.<br />
The figure can be separated into a semicircle and trapezoid.<br />
Then, add the areas together.<br />
The area of the figure is about 77.0 + 160 or 237 square inches.<br />
Area of semicircle<br />
Area of trapezoid<br />
14 in.<br />
10 in.<br />
18 in.<br />
14 in.<br />
A = πr 2<br />
A = h(b1 + b2 )<br />
10 in.<br />
A = • π • (7) 2<br />
A ≈ 77.0 in 2<br />
14 in.<br />
A = • 10 • (14 + 18)<br />
A = 160 in 2<br />
18 in.<br />
Exercises<br />
Find the area of each figure. Round to the nearest tenth if necessary. Use 3.14 for π. Show your work.<br />
1. _________________ 2. _________________ 3. _________________<br />
8 mm<br />
5 mm<br />
6 mm<br />
6 ft<br />
9 ft<br />
7 mi<br />
14 mi<br />
5 mi<br />
5 mi<br />
9 ft<br />
4. _________________<br />
SWIMMING POOLS The Cruz family is buying a custom-made cover for their swimming pool, shown below.<br />
The cover costs $2.95 per square foot. How much will the cover cost? Round to the nearest cent.<br />
15 ft<br />
25 ft
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