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A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 100ft of fence? What should the dimensions of the garden be to give this area?

Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard from, as^2+bx+c=0

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Solution Summary

A quadratic equation is formulated.

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If x is one side of the fence, and y is the second one, the total length of the fence is x+x+y=2x+y (since he uses the barn side as one
side of the rectangle). We have 100ft of fencing materal, so 2x+y = 100, and y = 100-2x.
Now, the area ...

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