## Geometry: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 7 - Similarity - 7-3 Providing Triangles Similar - Practice and Problem-Solving Exercises - Page 458: 39

#### Answer

$C$

#### Work Step by Step

The formula for the perimeter of a rectangle is given by the following formula: $P = 2l + 2w$ Let's define our variables: $w$ = width $l$ = $2w$ Let's substitute $2w$ into the equation and plug in $72$ for $P$: $72 = 2(2w) + 2w$ Multiply first: $4w + 2w = 72$ Add the left side to simplify: $6w = 72$ Divide each side by $6$ to solve for $w$: $w = 12$ We want to find length, so we plug in $w$ in our expression for $l$ to find length: $l = 2(12)$ Multiply to solve for $l$: $l = 24$ in. The answer is option $C$.

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