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Area of Square

The perimeter...

Question

The perimeter of a square is numerically equal to its area. Find its area.

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Solution

Let the side of a square be a.
Given:
The perimeter of a square is numerically equal to its area.

perimeter of a square=4a
Area of square= a²

4a = a²
a²/a =4
a=4
Area of square = a² = 4×4=16 square units..

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