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 - Page 552: 14

Answer

$P$ = 48 ft $A$ = 72 ft$^{2}$

Work Step by Step

To find the perimeter add all of the length of sides together. $P$ = 4 ft + 12 ft + 12 ft + 3 ft + 8 ft + 9 ft $P$ = 48 ft To find the area we can break the shape into two rectangles. The first measuring 4 ft x 12 ft and the second measuring 3 ft x 8 ft. Find the area of each and then add the results together to determine the total area. $A$$_{1}$ = 4ft * 12 ft $A$$_{1}$ = 48 ft$^{2}$ $A$$_{2}$ = 3 ft * 18 ft $A$$_{2}$ = 24 ft$^{2}$ $A$ = A$_{1}$ + A$_{2}$ $A$ = 48 ft$^{2}$ + 24 ft$^{2}$ $A$ = 72 ft$^{2}$
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