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Which shape has the smallest perimeter: a square of side 5 cm, a rectangle 4 cm × 7 cm, or an equilateral triangle of side 9 cm?

Class 6MensurationMensuration
  • ASquare of side 5 cm
  • BRectangle 4 cm × 7 cm
  • CEquilateral triangle of side 9 cm
  • DThey are all equal

Step-by-Step Solution

Perimeters: square = cm, rectangle = cm, triangle = cm. The square has the smallest perimeter (20 cm).
Answer: A) Square of side 5 cm

Key idea: Perimeter — the journey around

Imagine an ant walking around the edge of a shape and returning to where it started. The total distance it walks is the perimeter. For any closed shape: **add up every side**. Order doesn't matter; just include each side once.

For a triangle with sides 3, 4, 5: perimeter = 3 + 4 + 5 = 12. For an irregular shape: add every edge.

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