Play Space. A car dealership has 24 ft of dividers with which to enclose a rectangular pla...

Play Space. A car dealership has 24 ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. The sides against the wall require no partition. Suppose the play space is x feet long.

a) Express the area of the play space as a function of x.

b) Find the domain of the function.

c) Using the graph shown below, determine the dimensions that yield the maximum area.