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 calcu...
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?
Answer Details
The correct perimeter of the rectangular lawn can be calculated by adding twice the length and twice the breadth, i.e.,
2 × length + 2 × breadth = 2 × 60m + 2 × 40m = 120m + 80m = 200m
The perimeter calculated by the boy would be:
2 × 59.6m + 2 × 40.3m = 119.2m + 80.6m = 199.8m
The difference between the correct perimeter and the calculated perimeter is:
200m - 199.8m = 0.2m
To find the percentage error, we divide the difference by the correct perimeter and multiply by 100:
(0.2m / 200m) × 100% = 0.1%
Therefore, the percentage error in the boy's calculation of the perimeter of the lawn is 0.1%. The correct option is: 0.1%.