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 - Review Exercises - Page 397: 41

Answer

225

Work Step by Step

The apothems are proportional, so the apothem of the small regular pentagon is 5 and that of the large regular pentagon is 10. Thus, it follows: $$ A= \frac{1}{2}(aP) \\ A = \frac{1}{2}((10)(60)-(5)(30)) \\ A =\frac{1}{2}(450) \\ A =225$$
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