## Precalculus (6th Edition)

Published by Pearson

# Chapter 1 - Equations and Inequalities - 1.2 Applications and Modeling with Linear Equations - 1.2 Exercises - Page 100: 12

#### Answer

$a=8$ ft $b=14$ ft

#### Work Step by Step

The perimeter of a rectangle can be calculated as: $P=2a+2b$, where a and b are the width and the length of the rectangle. Here: $P=44$ ft $a+6=b$ By substituting, we get: $44=2a+2(a+6)$ $44=4a+12$ $32=4a$ $a=8$ ft $b=a+6=14$ ft

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