college algebra word problem

Question

A car dealership has 24ft 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 

Answer 1

24 ft must cover the x foot length plus the width.

24 = x + width

24 - x = width

Area = x(24 - x)

{x | x > 24}