Elementary Geometry for College Students (5th Edition)

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

Chapter 8 - Section 8.2 - Perimeter and Area of Polygons - Exercises - Page 372: 49

Answer

5 $in^{2}$

Work Step by Step

The length of the diagonal of the square d = $\sqrt 10 $ in. We know the area of the square whose diagonal has length d is A = $\frac{1}{2} d^{2}$ therefore A = $\frac{1}{2} \sqrt 10^{2}$ = $\frac{1}{2}$ * 10 = 5 $in^{2}$
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