Diane has 120 meters of fencing and wishes to form three sides of a rectangular field. The fourth side borders a river and will not need fencing. As shown below, one of the sides has length x (in meters). X Side along river (a) Find a function that gives the area 4 (x) of the field (in square meters) in terms of x. X A (x) = 1 5 ? (b) What side length x gives the maximum area that the field can have? Side length x : meters (c) What is the maximum area that the field can have? Maximum area: | | square meters