You plan to build four identical rectangular sheep pens in a row. Each adjacent pair of pens share a fence between them. You have a total of feet of fence to use. Find the dimension of each pen such that you can enclose the maximum area.
The length of each pen (along the walls that they share) should be .
The width of each pen should be .
The maximum area of each pen is .
(Use ft for feet, and ft^2 for square feet.)

You can earn partial credit on this problem.