Question

the length and width of a rectangular piece of paper were measured as 60cm and 12cm respectively, determine the relative error in the calculation of it's area.​

Answer 1

Explanation:

actual area : 60 x 12 = 720

1/2 = 0.5

60 + 0.5 = 60.5 12 + 0.5 = 12.5 -max area = 60.5 x 12.5 = 756.25

60 - 0.5 = 59.5 12 - 0.5 = 11.5 -min area = 59.5 x 11.5 = 684.25

absolute error : 1/2(756.25-684.25) = 36

relative error : 36/720 = 0.05

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