Another pen problem 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.

Solution Step 1 The given diagram is