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A T-shaped name board is made from a bar 12 cm by 3 cm with a stem 4 cm by 7 cm fixed centrally below it. Going once round the outside, the edges measure 12 cm, 3 cm, 4 cm, 7 cm, 4 cm, 7 cm, 4 cm and 3 cm. What is the perimeter of the T-shape?

Class 6MensurationMensuration
  • A30 cm
  • B52 cm
  • C
  • D44 cm

Step-by-Step Solution

Add every outside edge once: 12 + 3 + 4 + 7 + 4 + 7 + 4 + 3 = 44 cm. 52 cm comes from adding the two rectangles’ own perimeters, , which wrongly counts the joined edges that now lie inside the shape. 30 cm is just the bar, and is the area — a perimeter is never written in .
Answer: D) 44 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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