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Mathematics

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

Area Trapezium Polygon

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Answer

Given:

The perimeter of a square = The area of a square.

Let the side of the square be a unit.

As we know, the perimeter of the square = 4 x side

= 4a

And, the area of the square = side2

= a2

Thus, 4a = a2

⇒ a = 4 unit

Now, the area of the square = a2

= 42

= 16 sq. units

Hence, the area of the square is 16 sq. units.

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