Question

The length and breadth of a rectangular sheet are 16.2 ± 0.1
cm and 10.1 ± 0.1 cm, respectively. The area of the sheet in
appropriate significant figures and error is
(a) 164 ± 3 cm² (b) 163.62 ± 2.6 cm²
(c) 163.6 ± 2.6 cm² (d) 163.62 ± 3 cm²

Answer 1

Answer:

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Explanation:

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Answer 2

Answer:

163.6±2.63 cm²

Explanation:

area = L × B

= 16.2 × 10.1 ( least significant figure is 3 )

= 163.62

= 164 cm² ( rounded to 3 significant figures )

Δ area = ( ΔL/L + ΔB/B) L×B

= ( 0.1/16.2 + 0.1/10.1) 16.2×10.1

= 2.63

= 2.6 ( rounded off )

therefore, area = 164 ± 2.6 cm²