The sum of the length l and the width w of a rectangular area is 220 meters.

(a) Write w as a function of l.

w =

(b) Write the area A as a function of l.
A =

(c) Find the dimensions that produce the greatest area.
l =
w =

1 answer

a) w = 220 - l

b) A = lw = l(220-l)

c) A square would give you the greatest area.