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: 66


The area of the rectangle is $w^2+4w$ $\text{yd}^2$

Work Step by Step

Since the length is $4$ more than the width, $w$, we must add $4$ to $w$ to find the length. This gives us a length of $w+4$. The formula for area of a rectangle is $A=lw$, where $l$ is the length and $w$ is the width. We plug in the values for width and length: $A=w(w+4)$ We apply the distributive property: $A=w\cdot w+4w$ To multiply powers with the same base, we add the exponents: $A=w^2+4w$
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