Question

The length and breath of a rectangle are $(5.7\pm 0.1)$ cm and $(3.4\pm 0.2)$ cm. Calculate the area of rectangle with error limit.

Answer 1

It is given that,

$lengthL=(5.7\pm 0.1)cm$

$breadthB=(3.4\pm 0.2)cm$

$area=L\times B$

$=5.7\times 3.4$

$=19.38m^2$

Error is given by

$\Delta A=A\times (\frac{\Delta L}{L}+\frac{\Delta B}{B})$

$=19.38\times (\frac{0.1}{5.7}+\frac{0.2}{3.4})$

$=19.38\times (0.0175+0.058)$

$=1.46$

So, area of rectangle is $(19.38\pm 1.46)c{m}^2$