Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - 2.5 - Translating from English to Algebra - Problem Set 2.5 - Page 81: 59


The perimeter of the rectangle is $8w$ feet.

Work Step by Step

Since the length is $3$ times the width, $w$, we must multiply $w$ by $3$ to find the length. This gives us a length of $3w$. The formula for perimeter of a rectangle is $P=2l+2w$, where $l$ is the length and $w$ is the width. We plug in the values for width and length: $P=2(3w)+2(w)$ We multiply from left to right: $P=6w+2w$ We add to combine like terms: $P=8w$
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