Tyler has a lizard named Larry. Tyler wants to build a rectangular pen for Larry to run around in for exercise. Tyler has 20 sections of fence. Each section of fence measures
one foot. The sections of fence cannot be cut or bent. What are all the possible sizes of
pens Tyler can build? Tyler wants Larry the lizard to have a pen with the most room to
exercise. Which pen should Tyler build? Each section of fence cost two dollars and !fty
cents each. How much money does Tyler spend to buy 20 sections of fence? Show all
your mathematical thinking.