Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 8 - Section 8.3 - Regular Polygons and Area - Exercises - Page 377: 32

Answer

$$A=7.5sa$$

Work Step by Step

For a regular polygon: $$ A = \frac{1}{2} a P$$ Thus, the area of the shaded area is: $$ A = \frac{1}{2}(10s)(2a)- \frac{1}{2} a (5s) \\ A=7.5sa$$
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