Elissa sells two breeds of dogs, Alaskan Malamutes and Great Pyrnees. She has 116 feet of fencing to enclose two adjacent rectangular dog kennels, one for each breed. An existing fence is to form one

Elissa sells two breeds of dogs, Alaskan Malamutes and Great Pyrnees. She has 116 feet of fencing to enclose two adjacent rectangular dog kennels, one for each breed. An existing fence is to form one side of the kennels, as in the drawing below. Suppose the total length of the two kennels is x feet. Express the total area of the two kennels as a function of x. Graph the function and from the graph determine the value of x that will yield the maximum area.