if the area is 864 square feet and the width is 2/3 the length, what is the length?

User Generated

Yvfnznl665

Mathematics

Question Description

Louis wants to carpet the rectangular floor of a basement.  the basement has an area of 864 square feet.  the width of the basement is 2/3 its length.  what is the length?

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Explanation & Answer

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x-\ length\\\\
\frac{2}{3}x-\ width\\\\
Area=\ length*width\\\\
864=x*\frac{2}{3}x\\\\
864=\frac{2}{3}x^2\ \ \ | divide\ by\ \frac{2}{3}\\\\
864*\frac{3}{2}=x^2\\\\
432*3=x^2\\\\
1296=x^2\ \ \ | \sqrt{}\\\\
x=36ft\\\\
Length\ is \ equal\ to\ 36ft.
therefore the answer is equal to 36 feet. Please best my answer. thank you
Please let me know if you need any clarification. I'm always happy to answer your questions.

PuevfE886 (1503)
Boston College

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