Mathematics

If the area of a square is numerically equal to its perimeter, then the length of each side is

  1. 1 unit

  2. 2 units

  3. 3 units

  4. 4 units

Mensuration

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Answer

Let the side of the square = s.

Area of square = s2

Perimeter of square = 4s

Given, Area = Perimeter

⇒ s2 = 4s

⇒ s2 - 4s = 0

⇒ s(s - 4) = 0

⇒ s = 4 (since s ≠ 0)

Thus, the length of each side is 4 units.

Hence, option 4 is the correct option.

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