SOLUTION: Find the dimensions of the rectangle that has a length 3 meters more that its width and a perimeter equal in value to its area?

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Question 1072363: Find the dimensions of the rectangle that has a length 3 meters more that its width and a perimeter equal in value to its area?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
L=w+3 for L length and w width

Perimeter and Area are equal:
2w%2B2L=wL
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2w%2B2%28w%2B3%29=w%28w%2B3%29
2w%2B2w%2B6=w%5E2%2B3w
4w%2B6=w%5E2%2B3w
w%2B6=w%5E2
w%5E2-w-6=0
%28w%2B2%29%28w-3%29=0
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highlight%28highlight%28w=3%29%29
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highlight%28L=6%29