## Basic College Mathematics (10th Edition)

Published by Pearson

# Chapter 8 - Geometry - 8.3 Rectangles and Squares - 8.3 Exercises - Page 551: 15

#### Answer

$P$ = 98 m $A$ = 492 m$^{2}$

#### Work Step by Step

To find the perimeter add all of the length of sides together. $P$ = 17 m + 12 m + 4 m + 4 m + 4 m + 12 m + 17 m + 28 m $P$ = 98 m To find the area we can break the shape into two rectangles. The first measuring 4 m x 4 and the second measuring 17 m x 28 m. Find the area of each and then add the results together to determine the total area. $A$$_{1} = 4 m * 4 m A$$_{2}$= 16 m$^{2}$ $A$$_{2} = 17 m * 28 m A$$_{2}$ = 476 m$^{2}$ $A$ = $A$$_{1} + A$$_{2}$ $A$ = 16 m$^{2}$ + 476 m$^{2}$ $A$ = 492 m$^{2}$

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