Problema Solution
a daycare has 30 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)=
Answer provided by our tutors
there really needs to be more information for this problem because there is no information on the width of the area, only that it is 'x' feet long
area = length * width
if we assume a square play area (a square is a rectangle), the
A(x) = x^2
this really should be expressed in terms of 30 ft dividers, however, so let 'n' represent the number of dividers the day care has, then '30(n-x/30)' represents the width of the play area since all leftover dividers will be used for the width
this gives
A(x) = x * 30(n-x/30)
which really is
A(x,n) = x * 30(n-x/30)