While measuring the side of a square plot, a surveyor makes an error of 10% in excess. The percentage error in the area calculated from his measurement is:

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Accepted Answer

21. The measured side is 1.1 times the true side, so the calculated area is (1.1)² = 1.21 times the true area — an error of 21% in excess. (Doubling the 10% to 20% misses the extra 0.01 term.)

While measuring the side of a square plot, a surveyor makes an error of 10% in excess. The percentage error in the area calculated from his measurement is:

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