SOLUTION: A farmer has 200 yards of fencing to enclose three sides of a rectangular piece of property that lies next to a river. The river will serve as the fourth side. Find the dimensions
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Question 987860: A farmer has 200 yards of fencing to enclose three sides of a rectangular piece of property that lies next to a river. The river will serve as the fourth side. Find the dimensions of property if the area is 3200 yards^2. (There will be 2 solutions)
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
You can choose the sides as x, x, and y, and then the fencing length is 2x+y=200 and xy=3200 for area. This gives the system of equations
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;
Discriminant, ;
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x=20 and y=160, or x=80 and y=40
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