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Question

The length and breadth of a rectangle are (5.7±0.1) cm and (3.4±0.2) cm. Calculate area of the rectangle with error limits.

A
(19.0±5.5) sq.cm
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B
(39.0±1.5) sq.cm
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C
(29.0±2.5) sq.cm
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D
(19.0±1.5) sq.cm
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Solution

The correct option is B (19.0±1.5) sq.cm
l=(5.7±0.1)cm

b=(3.4±0.2)cm

A=l×b

=5.7×3.4=19.38 cm2=19.0 cm2

ΔAA=±(Δll+Δbb)

=±(0.15.7+0.23.4)

=±(0.34+1.145.7×3.4)

ΔAA=±1.4819.38

ΔA=±1.4819.38×A

ΔA=±1.4819.38×19.38

ΔA=±1.48=±1.5

Therefore Area = (19.0±1.5)sq.cm

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