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The numerical values of perimeter and area of a square are equal. The length of the side of the square is :

  • A.2 units
  • B.4 units
  • C.8 units
  • D.1 unit

Answer: B

The side is 4 units.

For a square of side \(s\), perimeter is \(4s\) and area is \(s^{2}\). Setting them equal:

\[ \begin{aligned} s^{2} &= 4s \\ s &= 4 \quad (s \neq 0) \end{aligned} \]

Check: perimeter \(= 16\) and area \(= 16\). With side 2 the perimeter is 8 but the area 4; with side 8 the perimeter is 32 but the area 64; with side 1 the perimeter is 4 but the area 1. So only 4 units works.

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