Question

A Rectangle has area a = (10.4 ± 0.6)m²
and breadth b= (5.2 ± 0.1)m. find its length with error​

Answer 1

Explanation:

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Answer 2

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a=(10.4± 0.6)m²

b=(5.2± 0.1)m

area, a=l x b

Δa/a=Δl/l+Δb/b

For maximum error,

0.6/10.4=Δl/l + 0.1/5.2

Δl/l= 0.0576923077 - 0.0192307692

Δl/l =0.0384615385 m

or

Δl/l =6/104 - 1/52

Δl/l =2/52

length with error =(52± 2)m

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