A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 452 feet of fencing is used. Find the dimensions of the playground that maximize the total enclosed area. Remember to reduce any fractions and simplify your answers as much as possible.

school building, so the fourth side does not need Fencing. As shown below, one of the sides has length J.' (in meters}. Side along school building E (a) Find a function that gives the area A (I) of the playground {in square meters) in

terms or'x. 2 24 (15) : 320; - 2. x (b) What side length I gives the maximum area that the playground can have? Side length x : [1] meters (c) What is the maximum area that the playground can have? Maximum area: I: square meters