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Relation between Side and Perimeter of a Square/ Rectangles

For how many ...

Question

For how many different measures of the side, will the perimeter of a square be greater than its area?

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Solution

Area of the square = a x a
Perimeter of the square = 4 x a
So, the perimeter of the square will be greater than its area, only when its side is less than 4 units.
So, the given condition holds true for three different values of sides which are 3 units, 2 units and 1 unit.

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