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Pentagons with Restricted Perimeter

Create a pentagon with perimeter 15 and measure its area using a dynamic Geometry software program. Modify the vertices of the pentagon until you find its greatest area, making sure that its perimeter still remains 15. What are some properties of the pentagon with greatest area?

Will you get the same or different results if you examine a different polygon? Explain.

 Related External Resources

The Pentagon
This site is a description and tour of the building in Washington, D. C.

Dissected Squares
This lesson has students cut squares and transform the pieces into a triangle. The goal of the activity is to find relationships between perimeter and area in the figures.

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