1. The problem statement, all variables and given/known data A farmer wants to build a rectangular pen. He has a barn wall 40 feet long, some or all of which must be used for all or part of one side of the pen. In other words, with f feet of of fencing material, he can build a pen of perimeter ≤ f+40, and remember he isn't required to use all 40 feet. What is the maximum possible area for the pen if: a. 60 feet of fencing material is available b.100 feet of fencing material is available c. 160 feet of fencing material is available 2. Relevant equations a. P=> 2x+y=60 => y=60-2x A=> xy=60x-2x^2 b. P=> 2x+y=100 => y=100-2x A=> xy=100x-2x^2 c. P=> 2x+y=160 => y=160-2x A=> xy=160x-2x^2 3. The attempt at a solution I worked through the problem and found a. x=15, y=30 => A=450 sq ft b. x=25, y=50 => A=1250 sq ft c. x=40, y=80 => A=3200 sq ft I was just wondering if there was a way I could check these answers?