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An L-shaped playground is what is left when a rectangular corner is cut away from a rectangular plot 18 m by 15 m. Without being told the size of the corner that was removed, what is the perimeter of the playground?

Class 6MensurationMensuration
  • A33 m
  • B66 m
  • C270 m
  • DIt cannot be found unless the size of the removed corner is known.

Step-by-Step Solution

Cutting a rectangular corner swaps two pieces of the old boundary for two new pieces of exactly the same total length, so the perimeter stays no matter which corner is removed. 33 is only length + breadth, and 270 is the AREA of the original plot in , not a length. The AREA would indeed depend on the corner removed — the perimeter does not.
Answer: B) 66 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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