## Precalculus (6th Edition)

Published by Pearson

# Chapter 1 - Equations and Inequalities - 1.2 Applications and Modeling with Linear Equations - 1.2 Exercises - Page 100: 10

#### Answer

$B$ and $C$.

#### Work Step by Step

$A$ $2x+2(x-1)=14$ $2x+2x-2=14$ $4x-2=14$ $4x=16$ $x=4\qquad$ ... can be a side length of a rectangle. $B$ $-2x+7(5-x)=52$ $-2x+35-7x=52$ $-9x+35=52$ $-9x=17$ $x=-\displaystyle \frac{17}{9}\qquad$ ... can not be a side length of a rectangle (negative length). $C$ $5(x+2)+5x=10$ $5x+10+5x=10$ $10x+10=10$ $10x=0$ $x=0\qquad$ ... can not be a side length of a rectangle (zero length). $D$ $2x+2(x-3)=22$ $2x+2x-6=22$ $4x-6=22$ $4x=16$ $x=4\qquad$ ... can be a side length of a rectangle.

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