Answer:
5600 square feet is the area.
Explanation:
Perimeter will be = 300 feet
Length of the fence enclosure must be at least 80 feet.
Width of the fence enclosure must be at least 40 feet.
Let x be the length and y be the width of the court.
We get following constraints:


If we calculate the area, we get

And for the perimeter we get:
⇒

Now look at the graph attached, we get point (80,70) as the possible solution.
So, the maximum area occurs when the dimensions are 80 feet by 70 feet.