College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.9 - Modeling with Equations - P.9 Exercises: 42

Answer

$x=9$ feet.

Work Step by Step

The area of the empty space in addition to the shaded area is $10(x+6)=10x+60$. The area of the empty space alone is $6(10-x)=60-6x$ Therefore, the area of the shaded area is $(10x+60)-(60-6x)$. This also equals $144$ square feet, so $16x=144$, and $x=\frac{144}{16}=9$ feet.
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