Shape 

Copyright David & Cynthia Thomas, 2009

 

Perimeter & Area of Polygons--Directed Activity: Perimeter vs. Area of Pentagons

                                                

Focus

Perimeter vs. Area of Pentagons

Technologies

The Geometers Sketchpad and model 3_MaxPentagonArea.gsp

Background

Figure 3.19 shows a Geometers Sketchpad model of a pentagon.  The relative lengths of the sides may be changed by dragging the vertices.

Figure 3.19:  Maximum Area for a Pentagon with Fixed Perimeter

 

Tasks

Experiment with this model and answer the question, For any given perimeter, what shape pentagon has the greatest area?