Your parents have a triangular deck in their back yard in the shape of a right triangle. You measure the sides of the deck to be 10 ft. by 20 ft. Your parents want you to construct a rectangular cover that will shade as much of the deck as possible. The corners of the covering will be attached at the edges of the triangular deck and where the two sides you measured meet. Complete the following table for the area of the covering given the lengths of the 20 ft. side. Between which two lengths given in the table do you think the area of the covering will be maximized?