Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 1 - Expressions, Equations, and Inequalities - Chapter Review - Page 52: 26


Length: 10 Width: 6

Work Step by Step

We can represent the length as $5x$ and the width as $3x$. The formula for the perimeter of a rectangle is $2l+2w$. So, if the length is $5x$ and the width is $3x$, the equation will be $2(5x)+2(3x)=32$, which is $10x+6x=32$ $16x=32$. So $x=2$. The length is 5x, and because $x=2$, the length is 10. The width is 3x, and because $x=2$, the width is 6.
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