Pablo wants to build a rectangular pen for the pig he is raising in his agriculture class. Pablo only has 36 feet of fencing. a. What representative function can be used to model the area of the rectangular pen as a function of the side length, x? b. Sketch a graph of the representative function over an appropriate domain and range. Identify the domain and range using inequality notation. c. What dimensions can Pablo use to give the rectangular pen the maximum area? d. Justify the reasonableness of your prediction in terms of the problem situation.