The two examples that follow model the concept that squares (or rectangles closer to square shapes) have the greatest area for a fixed perimeter. With a fixed area of 18 units squared, the perimeter was as much as 38 units or as small as 18 units. With a fixed area of 36 units squared, the perimeter was as much as 74 units or as small as 24 units. Long and thin areas = greater perimeter. Square areas (or as close as we can get) = smaller perimeter.
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September 2015
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