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Two rectangular vegetable beds each need exactly 36 m of fencing. Bed A is 12 m by 6 m and Bed B is 10 m by 8 m. Which bed gives more growing space, and by how much?

Class 6MensurationMensuration
  • ABed A, by
  • BBed B, by
  • CBed B, by
  • DBoth give the same space, because the fencing is the same.

Step-by-Step Solution

Check the fencing first: and , so the perimeters really are equal. Areas: and , so Bed gives more. Equal perimeter never guarantees equal area — the more square-like rectangle encloses more.
Answer: C) Bed B, by

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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