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While estimating the area of a shape on squared paper, Nikhil counted every partly covered square as a whole square. What is wrong with his estimate?

Class 6MensurationMensuration
  • AIt is too large, because the squares less than half covered should have been left out.
  • BIt is too small, because he missed the fully covered squares.
  • CIt is exactly right, since every square the shape touches is part of it.
  • DNothing can be said unless the shape is drawn again.

Step-by-Step Solution

The rule is to count a square only when MORE than half of it lies inside the shape, and to ignore it when less than half does. By counting the less-than-half squares as well, Nikhil has added surface the shape does not actually cover, so his estimate comes out bigger than the true area.
Answer: A) It is too large, because the squares less than half covered should have been left out.

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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