Question 1065707
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The area of a rectangle is 135 in.² the ratio of the {{{highlight(cross(links))}}} length to the width is 5 to 3 find the length and the width
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The condition says that {{{L/W}}} = {{{5/3}}}.

It means that L = {{{(5/3)*W}}}.     (*)

The condition  also says that 

LW = 135.

Substitute (*) to there. You will get

{{{(5/3)*W^2}}} = 135  --->  {{{5W^2}}} = 135*3  --->>> {{{W^2}}} = {{{(135*3)/5}}} = 27*3 = 81.

Hence, W = {{{sqrt(81)}}} = 9.

Then L = {{{(5/3)*9}}} = 15.

<U>Answer</U>. The length is 15 inches.  The width is 9 inches.
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