The length and width of a rectangular room are measured to be 3.95\pm0.05 m and 3.05\pm0.05 m. respectively. The area of the floor is

Correct Answer is : 12.05±0.34m2

KVPY SA Exam 2016 Question Paper

Question : 17 of 80

Marks: +1, -0

The length and width of a rectangular room are measured to be

3.95±0.05

m and

3.05±0.05

m. respectively. The area of the floor is

Solution:

A=lB

dA=ldB+Bdl

{dA}/A={ldB}/{lB}+{Bdl}/{lB}

{dA}/A={dB}/{B}+{dl}/{l}

=0.05/3.05+0.05/3.95

= 0.016 + 0.012

= 0.028 × 12.05

dA = 0.33
12.05 ± 0.34

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