Maximum Area of Rectangle with Fixed Perimeter

For rectangles with the same perimeter, which one has the maximum area?
All of the rectangles that you can create with this applet have integer side lengths.[br]Make an organized list of all of the possible areas of rectangles whose perimeters are 12, 16, 20, 24, 28, and 32.[br]What conjectures can you make from the data you have collected?

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