Mathematics

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

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?

  • A.
    10%
  • B.
    1.4%
  • C.
    7%
  • D.
    0.2%
  • E.
    0.1%
Correct Answer: Option 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 x 100/1

= 0.1%