UPSC Civil Service Exam Questions - Civil Engineering Questions and Answers

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Discussion :: UPSC Civil Service Exam Questions

The area of a plot is to be determined using Simpson's rule. The following offsets were taken to a boundary from points along a chain line all measurements being in metres 12, 15, 22, 29, 36, 38, 31, 22, 17.There were taken at 100 m intervals.
Consider the following steps in this regard.
1.
2. Sum of the odd ordinates = 22 + 36 + 1 = 89
3. Sum of the even ordinates = 15 + 29 + 38 + 22 = 104
4. 12 + 17 = 39
5. Area = 100 (19.5 + 89 + 104)
6. Area = (39 + 2 x 89 + 4 x 104)
7. Area 100 x 19.5 (104 - 89)
The area of the plot can be determined by using the steps listed above :