Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 8 - Section 8.3 - Regular Polygons and Area - Exercises - Page 378: 17

Answer

97.5 $cm^{2}$

Work Step by Step

Given apothem of a regular pentagon is 5.2 cm Each side of a regular pentagon = 7.5 cm The area of a regular polygon whose apothem has length a and whose perimeter P is given by A = $\frac{1}{2}$ ap Given a = 5.2cm p = 5s = 5*7.5 =37.5 cm A = $\frac{1}{2}$ *5.2 * 37.5 A = 97.5 $cm^{2}$
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