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

Mathematics
WAEC 1996

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%
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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%


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