SOLUTION: the area of a rectangle wall of a barn is 20 feet. its length is 6 feet longer than twice its width. find the length and width of the wall of the barn

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Question 942960: the area of a rectangle wall of a barn is 20 feet. its length is 6 feet longer than twice its width. find the length and width of the wall of the barn
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the area of a rectangle wall of a barn is 20 sq feet.
its length is 6 feet longer than twice its width.
find the length and width of the wall of the barn.
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width:: x
length:: 2x+6
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Equation:
length * width = 20 sq ft
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x(2x+6) = 20
2x^2 + 6x - 20 = 0
x^2 + 3x - 10 = 0
Factor:
(x+5)(x-2) = 0
Positive solution::
x = 2 ft (width)
2x+6 = 2*2+6 = 10 ft (length)
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Cheers,
Stan H.
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