An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

Q: An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

100 cm is read as 102 cm. ∴ A1 = (100 x 100) cm2 and A2 (102 x 102) cm2. (A2 - A1) = [(102)2 - (100)2] = (102 + 100) x (102 - 100) = 404 cm2. ∴ Percentage error = ❨ 404 x 100 ❩% = 4.04% 100 x 100

2%
2.02%
4%
4.04%

Correct Answer: 4.04%

Explanation:

100 cm is read as 102 cm.

∴ A₁ = (100 x 100) cm² and A₂ (102 x 102) cm².

(A₂ - A₁) = [(102)² - (100)²]

= (102 + 100) x (102 - 100)

= 404 cm².

∴ Percentage error =	❨	404	x 100	❩%	= 4.04%
		100 x 100

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