Question

The error in the measurement of the sides of a rectangle is 1%. The error in the measurement of its area is:
A- 1%
B- 1/2%
C- 2%
D- NOTA

Answer 1

Explanation:

answer is proximatly 1

Answer 2

Answer:sqrt 2%

Explanation:

As the error of 1% is made in sides of the rectangle that is the length and breadth of a rectangle. Let the error in measuring the length be L be dL and the error in measuring the breadth W be dW.

The error in the area A which is the product A = W*L is (dA)/A = sqrt(((dL)/L)^2 + ((dW)/W)^2)

=> (dA)/A = sqrt(0.01^2 + 0.01^2)

=> (dA)/A = sqrt(2*10^-4)

=> (dA)/A = sqrt 2*10^-2

=> (dA)/A = sqrt 2 %

The error in the area is sqrt 2 %