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.
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.