Isoperimetric Parallelograms

 

The applet below displays a parallelogram with fixed perimeter. Drag points C or D and observe the trace that results on the graph. You may also use the Animate buttons to observe similar results. To clear the trace, click on the red X in the lower right-hand corner. The trace provides a visual of the relationship between side AC and the area of the parallelogram ACDE; that is, the plot represents the area of the parallelogram as a function of side AC. Describe this relationship.

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