Suppose that you have 20 linear feet of fencing, and you want to make a large rectangular garden to prevent deer from eating your vegetables.
A. Let x and y denote the side lengths of your garden. Write an equation relating x and y to the length of the fencing.
B. Write the area of the garden in terms of x and y.
C. Note that by using your equation in Part A, you can write y in terms of x. Write a formula for the area of the garden that just involves x (and not y).
D. Note that x must be in the interval [0 ft, 10 ft]. (x cannot be a negative length. If x > 10 ft, then y would be a negative length.) Use the Closed Interval Method to maximize the area in terms of x.
E. In order to maximize the area of your garden, what should the dimensions be?
