SOLUTION: The length of a rectangle is 3m more than twice its width, and the area of the rectangle is 77 square meters. Find the dimensions of the rectangle.

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Question 200303: The length of a rectangle is 3m more than twice its width, and the area of the rectangle is 77 square meters. Find the dimensions of the rectangle.
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Area = Length * Width = (2w+3) * (w) = 77
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2w^2 +3w -77 = 0
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(2w-11)(w+7) =0
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2w-11 = 0,,,,w=11/2=5.5 m
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w+7 =0,,,,,,,,w=-7 (not reasonable)
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L= 2w+3 = 14 m
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check,,,,,A = L*W = 14*5.5= 77,,,,ok