Question

A rectangular bird sanctuary is being created with one side along a straight riverbank. the remaining three sides are to be enclosed with a protective fence. if there are 24 km of fence available, find the dimension of the rectangle to maximize the area of the sanctuary.

Answer 1

The dimension of the rectangle that provides maximum area would be 8 km by 8 km. This would give the sanctuary 64 km of area. This uses every km of the fence and maximizes the efficiency of the fence.