Figure 1   Figure 2

Tessa has 42 ft of fencing available to construct a fence that will divide her garden into two rectangular sections. Her house forms one side of the garden and represents the width, as shown in Figure 1.

(a) Express the total area of the two sections as a function of x.

     

(b) Find the domain of the function. Write your answer as a compound inequality involving .

      Domain of :

(c) Using the graph of shown in Figure 2, determine the dimensions that yield the maximum area.

      Width: ft

      Length: ft

You can earn partial credit on this problem.