SOLUTION: The area of a rectangular wall of a barn is 72 square feet. It's length is 10 feet longer than twice its width. Find the length and width of the wall of the barn.
width= ___ feet
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width= ___ feet
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Question 626357: The area of a rectangular wall of a barn is 72 square feet. It's length is 10 feet longer than twice its width. Find the length and width of the wall of the barn.
width= ___ feet Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The area of a rectangular wall of a barn is 72 square feet. It's length is 10 feet longer than twice its width. Find the length and width of the wall of the barn.
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Let the width be "w".
Then length = "2w+10"
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Equation:
length*width = Area
(2w+10)*w = 72 sq. ft.
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2w^2 + 10w - 72 = 0
w^2 + 5w - 36 = 0
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(w+9)(w-4) = 0
width = 4 ft
length = 2w+10 = 18 ft.
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Cheers,
Stan H.
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