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Two rectangles A and B have the same area. A is 12 cm by 3 cm. B is 6 cm by 6 cm (so B is actually a square). Which has the smaller perimeter?

Class 6MensurationMensuration
  • ARectangle A
  • BSquare B
  • CBoth have equal perimeter
  • DCannot be decided

Step-by-Step Solution

Both have area . Perimeter of cm; perimeter of cm. So (the square) has the smaller perimeter.
Answer: B) Square B

Key idea: Area — the surface inside

Area measures how much flat space a shape covers. The unit is a **square** of side 1 — so (square centimetres), (square metres), etc. To measure the area of a rectangle visually, imagine covering it with 1-cm squares: count them. A rectangle 5 cm by 3 cm holds little squares, so its area is . The general formula is the same idea: area of rectangle = .

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