# Chapter 3 - Section 3.1 - Simplifying Algebraic Expressions - Exercise Set - Page 171: 72

perimeter is $40\frac{2}{3}$ ft

#### Work Step by Step

The combined lengths of the 2 segments at the top equals the length of the bottom side. $3x+7=12$ $3x+7-7=12-7$ $3x=5$ $x=\frac{5}{3}$ The perimeter is: $12+12+5(\frac{5}{3})+5(\frac{5}{3})= 24+\frac{50}{3}=24+16\frac{2}{3}=40\frac{2}{3}$

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