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: 65

Answer

$A=2w^2$

Work Step by Step

Since the length is $2$ times the width, $w$, we must multiply $w$ by $2$ to find the length. This gives us a length of $2w$. 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: $A=2w(w)$ To multiply powers with the same base, we add the exponents: $A=2 \times w^{1} \times w^{1}\\\\=2w^{1+1}\\\\=2w^{2}$
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