Tiffany is constructing a fence around a rectangular tennis court. She must use 300 feet of fencing. The fence must enclose all four sides of the court. Regulation states that the length of the fence enclosure must be at least 80 feet and the width must be at least 40 feet. Tiffany wants the area enclosed by the fence to be as large as possible in order to accommodate benches and storage space. What is the optimal area?

Answer 1

the maximum possible area would be a square, 75x75. But, since the length must be at least 80, make it as close to a square as possible. That would be

80x70

Answer 2

You want the max area, which is 75*75. But, the length must be 80. making it as close as possible, 80*70= 5600

5600 square feet