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The greatest area is when the rectangle is a square.

A perimeter of 10cm equates to each side of square measuring 2.5cm and then the area = 2.52 = 6.25 sq cm.

The least area occurs when the rectangle is shaped like a long, narrow slit.

So that the length is as close to 5cm as possible and the width is as narrow as possible.

Let's say that the length is 4.9 cm and the width 0.1 cm, then the area = 4.9 x 0.1 = 0.49 sq cm. If these dimensions are changed slightly to length 4.95 and width 0.05 then the area = 4.95 x 0.05 = 0.2475 sq cm.

As the length gets closer to 5 then the width gets closer to 0 and the area becomes almost 0 sq cm.

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15y ago

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