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WAEC Mathematics 1996 Question 6

Question 6

Ratio, Percentages and Rates

A boy measured the length and breadth 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?

  1. A.10%
  2. B.1.4%
  3. C.0.7%
  4. D.0.2%
  5. E.0.1%
Show the answer and explanation

Answer: E (0.1%)

Explanation

His perimeter is 2(59.6 + 40.3) = 199.8 m; the true perimeter is 2(60 + 40) = 200 m. Error = 0.2 m, so percentage error = 0.2/200 × 100 = 0.1%.