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%
Verified Correct Answer: E.
Step-by-Step Mathematical Solution
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%
Source: Myschool Past Questions Archive (Record #23796)