If a farmer has 1000 yards of fencing to make 3 equal rectangular pens adjacent to the barn. Use the barn itself to form one of the sides that will not need fencing. If the 3 pens are the same size and share a common side, then what is the area of side x and what are the dimensions of x & y that maximize the entire enclosure? What is the maximum area of the entire enclosure?
The area of three pens with commo sides is maximized.