Richard is building a rectangular backyard from 360 feet of fencing. The fencing must cover three sides of the backyard (the fourth side is bordered by Richard's house). What is the maximum area of this backyard?
See the 2nd answer here. It is very similar to your problem. Just change the number from 2,000 to 360.
https://web2.0calc.com/questions/two-area-questions#r2
+586 
