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A boy measured the length and breath of a rectangular lawn as 59.6m and 40.3m re...


Question

A boy measured the length and breath of a rectangular lawn as 59.6m and 40.3m respectively instead of 60m and 40m. What is the percentage error in his calculation of the perimeter of the lawn?

Options

A) 10%

B) 1.4%

C) 7%

D) 0.2%

E) 0.1%

The correct answer is E.

Explanation:

Length = 59.6m
Breath = 40.3m
Perimeter = (59.6m + 40.3m) x 2
= 99.9 x 2 = 199.8m
Actual measurement
Perimeter = (60 + 40) x 2 = 100 x 2 = 200m
Error = 200m - 199.8m = 0.2
Error =
0.2/200
=
100/1
= 0.1%

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Dicussion (1)

  • Length = 59.6m
    Breath = 40.3m
    Perimeter = (59.6m + 40.3m) x 2
    = 99.9 x 2 = 199.8m
    Actual measurement
    Perimeter = (60 + 40) x 2 = 100 x 2 = 200m
    Error = 200m - 199.8m = 0.2

    Error =
    0.2/200
    =
    100/1
    = 0.1%

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