Question

Length of a sheet is 17.3 +/- 0.3cm and
breadth is 3.12 +/- 0.08cm. Calculate the
percentage error in the area.

Answer 1

Hi..

Heres ur answer!!


Hope this helps u!!

Answer 2

Answer: The correct answer is 4.29.

Explanation:

It is given in the problem that Length of a sheet is 17.3 +/- 0.3 cm and breadth is 3.12 +/- 0.08 cm.

Error in the length= 0.3cm

Length of a sheet= 17.3 cm

Error in the breadth= 0.08 cm

Breadth of a sheet= 3.12 cm

Calculate the percentage error in the area.

$\frac{\Delta A}{A}100= \frac{\Delta L}{L}100+\frac{\Delta B}{B}100$

Here, L and B are the length and breadth. ${\Delta L}$ and ${\Delta B}$ are the change in the length and breadth.

Put ${\Delta L}= 0.3 cm$, ${\Delta B}= 0.3 cm$, L= 17.3 cm and B= 3.12 cm.

$\% error in area=\frac{0.3}{17.3}100+\frac{0.08}{3.12}100$

$\% error in area= 4.29$

Therefore, the percentage error in the area is 4.29.