A public park, in the form of a square, has an area of $(100 \pm 0.2) m ^2$. The side of park is ......... $m$
A$(10 \pm 0.01)$
B$(10 \pm 0.1)$
C$(10 \pm 0.02)$
D$(10 \pm 0.2)$
Medium
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A$(10 \pm 0.01)$
a (a)
$A=(100 \pm 0.2) \,m^2$
$100=l^2 \Rightarrow l=10 \,m$
$\frac{\Delta A}{A}=\frac{2 \Delta l}{I}$
$\frac{0.2}{100}=2 \times \frac{\Delta l}{10}$
$\Rightarrow \Delta=0.01 \,m$
So, length $=(10 \pm 0.01) \,m$
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