A car dealership has 30 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.

Transcribed Image Text:

(15,225) 250 200 150 100 50 0 5 10 15 20 25 30 x