Question

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

Options

• 4 units

• 8 units

• 12 units

• 16 units

Answer 1

The perimeter of a square is numerically equal to its area. The perimeter of the square is 4 units.

Explanation:

Let a units be the length of side of square

The perimeter of square = area of square

`\implies` 4a = a²

`\implies` a² – 4a = 0

`\implies` a(a – 4) = 0

Either a = 0 or a – 4 = 0

`\implies` a = 4

But a > 0

∴ a = 4