Question

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

Answer 1

Let each side of the square be x cm.
Its perimeter = 4x,
Area = x²
By the given condition 4x = x²
=> x² – 4x = 0
=> x (x – 4) = 0
=> x = 4 [x ≠ 0]
Area = x² = (4)² = 4 x 4 = 16 sq.units.