Question B.8: Find the area, with associated uncertainty, of a rectangular...

Find the area, with associated uncertainty, of a rectangular plate of dimensions 5.5 cm ± 1.8% by 6.4 cm ± 1.6%.

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Because the result is a multiplication, add the percent uncertainties:

\begin{aligned} A&=\ell w=(5.5  cm \pm 1.8 \%)(6.4  cm \pm 1.6 \%)\\&=35  cm^2 \pm 3.4 \%=(35 \pm 1)  cm^2\end{aligned}

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