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A rectangular vegetable bed is enclosed by exactly 72 m of wire. Its length is 25 m. What is its breadth?

Class 6MensurationMensuration
  • A11 m
  • B23 m
  • C36 m
  • D47 m

Step-by-Step Solution

P = 2 × (l + b), so 72 = 2 × (25 + b), giving 25 + b = 36 and b = 11 m. 36 m is the trap: halving the perimeter gives length PLUS breadth, so you still have to subtract the 25 m length. 47 m comes from doing 72 − 25 without halving first.
Answer: A) 11 m

Key idea: Perimeter shortcuts for special shapes

**Rectangle**: opposite sides are equal, so perimeter = l + b + l + b = 2(l + b).

**Square**: all four sides equal, so perimeter = 4 × s.

**Equilateral triangle**: all three sides equal, perimeter = 3 × s.

**Regular polygon with n sides of length s**: perimeter = n × s.

These shortcuts are just 'add the sides' written shorter.

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