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A rectangular card measures 6.3 cm by 3.5 cm. Find a. The absolute error in the area of the card. b. The relative error in the area of...

      

A rectangular card measures 6.3 cm by 3.5 cm. Find
a. The absolute error in the area of the card.
b. The relative error in the area of the card.

  

Answers


joseph
The length lies within the limits 6.3 ± 0.05 cm
The breadth lies within 3.5 ± 0.05 cm
The maximum possible area =6.35x3.55
=22.5425 cm^2
The minimum possible area = 6.25 x3.45
=21.5625 cm^2
The working =6.3 x3.5
=22.05 cm^2
Maximum area-working area=22.5425-22.05
=0.4925
Working area – minimum area =22.05 – 21.5625
=0.4872
Thus absolute error =( 04925 +0.4875)/2
= 0.4900
The relative error in the area is =0.49/22.05
=0.02

joseph rimiru answered the question on November 11, 2017 at 20:09


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