Quai has 120 meters of fencing. she wants to use all the fencing to make a rectangular flowerbed with a length of x cm and a width of y cm a) Find an expression for the perimeter in terms of x, y and 120.

b) Rearrange your equation to make y the subject.

c) Find an expression for the area, A, of the flower bed.

d) Show that A can be wriitn as A= 60x - x^2

e) On your GDC sketch this equation to find the maximum area.

f) Write down the maximum area and the values of x and y when this occurs.