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: 24

Answer

133.5 $in^{2}$

Work Step by Step

Given that the apothem of pentagon a is = 6 in the side measure approximately 8.9 in We need to find out the area of pentagon The area of a regular polygon whose apothem has length a and whose perimeter P is given by A = $\frac{1}{2}$ ap We know perimeter of pentagon P = ns = 5 * 8.9 =44.5 in A = $\frac{1}{2}$ ap = $\frac{1}{2}$ * 6 * 44.5 A = 133.5 $in^{2}$ The area of Pentagon is = 133.5 $in^{2}$
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