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If a rectangles perimmeter is 12cm what would be the least possible area?
Wiki User
∙ 14y ago
There is no lower limit.
Suppose the length is x cm, then perimeter = 12 cm implies that the breadth is 6 - x cm
So the area is x*(6-x) sq cm = 6x - x2 sq cm.
This is a continuous function of x which decreases to zero as x increases towards 6. Although x cannot be 6 since then the rectangle would have no length and therefore would not be a rectangle, it can go infinitesimally close to 6. Then the area is infinitesimally close to 0.
Wiki User
∙ 14y ago
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