Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 8 - Geometry - 8.3 Rectangles and Squares - 8.3 Exercises: 18

Answer

$P$ = 196 ft $A$ = 1472 ft$^{2}$

Work Step by Step

To find the perimeter add all of the length of sides together. $P$ = 12 ft + 18 ft + 16 ft + 10 ft + 20 ft + 32 ft + 48 ft + 40 ft $P$ = 196 ft To find the area we can break the shape into three sections. The first measuring 12 ft x 18 ft, the second measuring 20 ft x 10 ft, and the third measuring 22 ft x 48 ft. Find the area of each, and then add the results together to determine the total area. $A$$_{1}$ = 12 ft * 18 ft $A$$_{1}$ = 216 ft$^{2}$ $A$$_{2}$ = 20 ft * 10 ft $A$$_{2}$ = 200 ft$^{2}$ $A$$_{3}$ = 22 ft * 48 ft $A$$_{3}$ = 1056 ft$^{2}$ $A$ = $A$$_{1}$ + $A$$_{2}$ + $A$$_{3}$ $A$ = 216 ft$^{2}$ + 200 ft$^{2}$ + 1056 ft$^{2}$ $A$ = 1472 ft$^{2}$
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