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Estimating an irregular area by counting grid squares is most accurate when

  • A.the grid squares are small relative to the area
  • B.the area lies wholly within one grid square
  • C.the boundary follows the grid lines exactly
  • D.the map is drawn at the smallest possible scale

Answer: A

Correct answer: the grid squares are small relative to the area

The error lies entirely in the partly covered squares along the boundary, and their number grows as the perimeter while the count of full squares grows as the area. A finer grid therefore reduces the proportional error, which is the same reason a finer grid gives a better numerical integration.

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