An error 2% in excess is made while measuring the side of a square. The percent

Question

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:

Options:

A . 2%

B . 2.02%

C . 4%

D . 4.04%

Answer: Option D

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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