Shape
Copyright David & Cynthia Thomas, 2009
Perimeter & Area of Polygons--Directed Activity: Perimeter vs. Area of
Parallelograms
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Focus |
Perimeter vs. Area of Parallelograms |
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Technologies |
The Geometers Sketchpad and model 3_MaxParallelogram.gsp |
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Background |
Figure 3.18 shows a Geometers Sketchpad model of a parallelogram. The perimeter of the parallelogram may be changed by dragging the point labeled Perimeter. The relative lengths of the sides may be changed by dragging the point labeled Relative Length. And the “lean” of the parallelogram may be changed by moving the Drag Point.
Figure 3.18: Maximum Area for a Parallelogram with Fixed Perimeter
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Tasks |
· Experiment with this model and answer the question, For any given perimeter, what shape parallelogram has the greatest area? |
