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CTET 8 Feb 2026 Paper 1, Question 39

Topic: Area and perimeter

Q39

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

  1. (1) 2 units
  2. (2) 4 unitsCorrect answer
  3. (3) 8 units
  4. (4) 1 unit

Solution.

CBSE answer: (2)

Answer: (2) 4 units

  1. Let the side be aa. Perimeter =4a= 4a, area =a2= a^2.
  2. 4a=a2⇒a=44a = a^2 \Rightarrow a = 4 (side cannot be 0).
  3. Check: perimeter =4×4=16= 4 \times 4 = 16 units and area =4×4=16= 4 \times 4 = 16 square units, so the numbers are equal.

Trap: (1) 2 gives perimeter 8 but area 4.