A. A rectangular garden is to be fenced in and divided into three parallel sections. the fencing for the boundary costs $20 per foot whereas fencing for the dividing fences costs $5 per foot. Consider the problem of finding the dimensions of the largest garden possible if the gardner can spend $2000 for the fencing. Find the values for L and W for which the total area of the garden is as large as possible.
B. Find the length and the width of the rectangle with Perimeter 100ft and the maximum area.