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A square plot of side 20 m and a rectangular plot 25 m by 16 m have the same area. Which plot needs more fencing, and by how much?

Class 6MensurationMensuration
  • AThe square, by 2 m
  • BThe rectangle, by 2 m
  • CThe rectangle, by 10 m
  • DBoth need the same length, because their areas are equal.

Step-by-Step Solution

Areas: and — equal, as stated. Perimeters: m and m, so the rectangle needs 2 m more fencing. Equal area does not force equal perimeter; the longer, thinner shape always has the longer boundary.
Answer: B) The rectangle, by 2 m

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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