A farmer wants to keep separate coops for different types of chickens. She designs a coop against her barn as shown below with 60ft of fencing, where the thick line represents the side of her barn. What are the dimensions of the coop that will maximize the area?

help!!

If there are only 2 kinds of chickens, then that will be

30x15
This kind of problem is always answered by dividing the fencing equally among lengths and widths.