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:

• A. 2%
• B. 3%
• C. 4.04%
• D. 5%

Answer 1

Answer:

C. 4.04%

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 =[404/100×100]×100% =4.04%