SOLUTION: Five hundred feet of fencing is available to enclose a rectangular pasture alongside a river, which serves as one side of the rectangle. Express the area of the rectangular pasture

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Question 312442: Five hundred feet of fencing is available to enclose a rectangular pasture alongside a river, which serves as one side of the rectangle. Express the area of the rectangular pasture as a function of x. (only 3 sides require fencing)
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
Five hundred feet of fencing is available to enclose a rectangular pasture alongside a river, which serves as one side of the rectangle. Express the area of the rectangular pasture as a function of x. (only 3 sides require fencing)
.
Draw a diagram of the problem -- it'll help you see the solution.
.
Let x = width of rectangular pasture
then
500-2x = lenght of rectangular pasture
.
Area = x(500-2x)
Area = 500x-2x^2
Area = -2x^2+500x

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