Needing math help plz

Question

The back of Alisha's property is a creek. Alisha would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is feet of fencing available, what is the maximum possible area of the pasture?

Answer 1

P is the perimeter of the fence which is NOT given !!!!

P = 2w + L ----> L =P - 2w

A = L*w = (P - 2w)w = Pw - 2w^2

the extrema occur at the average of the solutions

the solutions are w=0 and w=P/2

the average is P/4

the max is:

P(P/4) - 2(P/4)^2 =

P^2/4 - P^2/8 =

P^2/8