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Ganesh cuts a square notch of side 6 cm out of one corner of a cardboard rectangle 26 cm by 18 cm. What is the perimeter of the L-shaped piece that is left?

Class 6MensurationMensuration
  • A76 cm
  • B88 cm
  • C94 cm
  • D100 cm

Step-by-Step Solution

Cutting a corner square takes 6 cm off each of two sides but puts two new 6 cm edges in their place, so the boundary length is unchanged: cm. 76 cm comes from subtracting the two removed pieces and forgetting the two new ones. The area does fall, by , but the question asks for the perimeter.
Answer: B) 88 cm

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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