SOLUTION: The length of a rectangle is 2 less than 3 times the width. Find the dimensions if the area is 65 square meters

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Question 361068: The length of a rectangle is 2 less than 3 times the width. Find the dimensions if the area is 65 square meters
Answer by robertb(5830) About Me  (Show Source):
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l = 3w - 2. Then A =lw, or (3w-2)w = 65.
3w%5E2-2w+=+65,
3w%5E2-2w+-65=0,
%283w%2B13%29%28w-5%29+=+0,
w+=+-13%2F3, or w+=+5. We eliminate the first value. Therefore, the width is 5 meters and length is 13 meters.