SOLUTION: the perimeter of a rectangle is 32 feet. find the dimensions if the length is 4 feet longer than three times the width. then find the area of the rectangle.

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Question 600794: the perimeter of a rectangle is 32 feet. find the dimensions if the length is 4 feet longer than three times the width. then find the area of the rectangle.
Answer by solver91311(24713) About Me  (Show Source):
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If a rectangle with perimeter has a length that is units longer (or shorter if ) than times the width, ,

Then knowing that the Perimeter is given by:

,

make the substitution:



Then solve for







For your problem: , , and . Do the arithmetic. Once you have determined the length and width, multiply them to get the area.

John

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