A daycare has 32 ft of dividers with which to enclose a rectangular play space in a corner of a large room. The sides against the wall require no partition. Suppose the play space is x feet long. Express the area A of the play space as a function of x. A (x) =

A=x (32-x)

Step-by-step explanation:

for a 32ft divider, e need to determine the length of the sides of the rectangular space. but since the length and breadth gives 32ft, we can express the side as

breadth = b,

length=x

x+b=32

b=32-x,

hence the area can be expressed as

A=l*x

A=x (32-x) unit square

the area expressed as a function of x is giving below

A (x) = x| (32-x)