The length and breadth of a rectangular sheet are measured to be 5.7 cm and 3.4 cm respectively by an
ordinary scale reading up to 0.1 cm. Find the percentage error in the area of the sheet.
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Explanation:
Length of rectangular sheet , L = 5.7 cm
breadth of rectangular sheet , B = 3.4 cm
area of rectangular sheet, A= L × B
= 5.7 × 3.4 = 19.38 cm²
now, use formula to find percentage error in area.
\frac{\Delta A}{A}\times100=\frac{\Delta{L}}{L}\times100+\frac{\Delta{B}}{B}\times100AΔA×100=LΔL×100+BΔB×100
percentage error in area = 0.1/5.7 × 100 + 0.1/3.4 × 100
= 100/57 + 100/34
= 4.69 %
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