Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.2 Geometry Essentials - A.2 Assess Your Understanding - Page A20: 49

Answer

$24+2\pi\approx30.28 \ ft^2$ $16+2\pi\approx22.28 \ ft$

Work Step by Step

1. We need to find the area of the rectangle and the semicircle $A=4(6)+\frac{1}{2}\pi(\frac{4}{2})^2=24+2\pi\approx30.28 \ ft^2$ 2. We need to find the perimeter $P=4+6+6+\frac{1}{2}\pi(4)=16+2\pi\approx22.28 \ ft$
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