# Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.5 - Factoring, Solving Equations, and Problem Solving - Problem Set 6.5 - Page 270: 96

The square is 8 by 8, and the rectangle is 16 by 4.

#### Work Step by Step

First, we equate the two areas: $s^2 = lw$ Since $l=2s$ and $w = s-4$, we obtain: $s^2 = 2s(s-4) \\ 0 = s^2 - 8s \\ 0 = s(s-8)$ Since s cannot equal 0, we obtain: $s=8 \\ l =2s=2(8) =16 \\ w = s-4 =8-4=4$

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