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  4. A public park, in the form of a square, has an area of (100 ± 0.2) m 2. The side of park is

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Q. A public park, in the form of a square, has an area of $(100 \pm 0.2) m ^{2}$. The side of park is

Physical World, Units and Measurements

Solution:

$A=(100 \pm 0.2) m ^{2}$
$100=l^{2} \Rightarrow l=10\, m$
$\frac{\Delta A}{A}=\frac{2 \Delta l}{l}$
$\frac{0.2}{100}=2 \times \frac{\Delta l}{10}$
$\Rightarrow \Delta l=0.01\, m$
So, length $=(10 \pm 0.01) m$