A rancher has 1000 feet of fencing with which to enclose two adjacent rectangular corrals with a interior partition (consider as one pen).

Question

Use calculus to determine what the external dimensions of the pen that will maximize the enclosed area.
Write your answer in the form length by width. No decimals. Enter fractional answers in the form a/b

Answer 1

I don't understand the geometry of the Interior pen.

Answer 2

It basically looks like a rectangle with a line drawn right through the middle of it. So it looks like there are two pens connected as one.

Answer 3

25 feet by 30 feet

Answer 4

Ada