A rancher is building a horse pen on the corner of her property using 1000 ft of

Question:

A rancher is building a horse pen on the corner of her property using 1000 ft of fencing. Because of the unusual shape of her property, the pen must be built in the shape of a trapezoid (see figure).

a. Determine the lengths of the sides that maximize the area of the pen.

b. Suppose there is already a fence along the side of the property opposite the side of length y. Find the lengths of the sides that maximize the area of the pen, using 1000 ft of fencing.

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