A gardener decides to lay a stone pathway around the outside of a rectangular garden. If he has 220 ft of stone what is the dimension of the garden that provides the maximum area using these stones.
a) Draw a sketch to represent this situation. Include appropriate expressions in single variable for each side. Show works for how you got the expressions for the length and width.
b.) Find the dimensions of the garden for its maximum area using the 220 ft stone. Draw a graph that would represent the equation you used to find the maximum area. Show work. State your answer clearly list the maximum area and dimensions.