Maximizing Area
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Move the points to maximize the area of the polygon. Moving point A will result in the whole polygon translating. The best way to manipulate the polygon is to start with point A and work around clockwise. |
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What shape maximizes the area? What shape minimizes the area? |
Largest area enclosed by 16 matches
In the applet below, drag the match to move it, and drag its red head to turn it.[br][br]Explore with the applet the possible areas enclosed by the 16 matches. Record the areas in the table. [br][br][b]What is the largest area?[/b]
Largest area enclosed by 16 matches
Anthony Or. GeoGebra Institute of Hong Kong.