Question

An error of 7% in excess has been made while calculating the side of the square. What is the percentage error in the calculated area of the square?

Answer 1

the answer of this question is 90%

Answer 2

Answer:

14.49 %

Step-by-step explanation:

Let x be the side of the square,

So, the area of the square = side²,

A = x²  ------(1)

Let there is an error of dA due to the error in side dx

⇒ (A+dA) = (x² + dx)

Here, dx = 7% = 0.07,

⇒ A + dA = (x + 0.07)² -----(2),

Equation (2) - equation (1),

dA = (x + 0.07)² - x² = x² + 0.0049 + 0.14 - x² = 0.1449 = 14.49%,

Hence, the percentage error in the calculated area of the square is 14.49%.