3. A rectangular plot is bounded on three sides by fencing. The enclosed area must be 400 square feet. Find the dimensions of x and y to minimize the required fencing needed to enclose the lot on the three indicated sides. a) (5 pts) Define the constraint equation and objective function for this problem. b) (6 pts) What are the length of the sides of the rectangular plot to minimize the required fencing? Show all work and verify analytically that you have a minimum amount of fencing