A car dealership has 24ft of dividers with which to enclose a rectangular play sace

Answer:A)  Area = [tex]A(x) = 24x - x^2[/tex]B)  Domain = {x < 24}Step-by-step explanation:Complete 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 Solution:A)The rectangle has area of length * widthlength is xso width will be 24 - xHence, the area will be:Area = x(24 - x)Area = [tex]A(x) = 24x - x^2[/tex]B)Domain is the set of x values that make the function defined. The domain will be all values less than 24.Because if you take 24, the area would be 0 [doesn't make sense]if you take anything over 24, the area would be negative [not possible]Hence, the domain is:Domain = {x < 24}