Question

I have one more word problem that I am stumped on:

A local chicken farmer is constructing a set of eight pens to cage his chickens as shown in the diagram below. He has decided to use 1000 feet of fencing to create the pens.

(I'll attach diagram)

(a) Express the width y as a function of the length x.

y(x)=

(b) Express the total enclosed area A of the pens as function of x.

A(x)=


(c) Determine the dimensions x and y that will maximize the enclosed area.

x=________ feet
y=________ feet