SOLUTION: A farmer plans to enclose a rectangular region, using part of his barn for one side and fencing for the other three sides. If the side parallel to the barn is to be twice the lengt

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Question 398015: A farmer plans to enclose a rectangular region, using part of his barn for one side and fencing for the other three sides. If the side parallel to the barn is to be twice the length of an adjacent side, and the area of the region is to be 98 ft2, how many feet of fencing should be purchased?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
A farmer plans to enclose a rectangular region, using part of his barn for one side and fencing for the other three sides. If the side parallel to the barn is to be twice the length of an adjacent side, and the area of the region is to be 98 ft2, how many feet of fencing should be purchased?

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let the adjacent side be x ft.
the other side will be 2x
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The area = L*W
Area = x*2x=2x^2
2x^2=98
x^2=49
x=7 feet
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the three sides to be fenced will be x+x+2x=4x
x=7
so 7*4 = 28 feet of fencing will be required.
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m.ananth@hotmail.ca