Question 184161
A farmer has 120 yards of fencing to build around a rectangular orchard. Let w be the width of the orchard. Write an equation giving the area of the orchard. Find the dimensions of the orchard when the area is 900 square yards.
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Perimeter = 2(L + W)
120 yds = 2(L + W)
L+W = 60
L = 60-W
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Area = L*W
Area = (60-W)W
Area = 60W-W^2
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900 = 60W-W^2
W^2 - 60W + 900 = 0
(W-30)(W-30) = 0
W = 30 yds (Width)
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L = 30yds (length)
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Cheers,
Stan H.