Let's restate our problem so that it considers only pentagons.

You want to create an enclosed pentagonal play area for children and you have exactly 320 feet of fence. What shapes and sizes of pentagonal play areas can you make?

Write down your initial thoughts. Draw some pentagons. What might the lengths of the five sides be? Remember that the perimeter must be 320 feet.

The exploration below will help you to think more about this problem.

Exploration 1