SOLUTION: 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

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.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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)
----
L = 30yds (length)
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Cheers,
Stan H.
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