If L is total length of a canal in kilometers, P is total perimeter of its lining in metres and C is the cost of lining per square metre, the additional expenditure involved on lining, is
A. $$1000\,{\text{PLC}}$$
B. $$\frac{{{\text{PLC}}}}{{1000}}$$
C. $$\frac{{{\text{PL}}}}{{1000{\text{C}}}}$$
D. $$\frac{{{\text{PC}}}}{{100{\text{L}}}}$$
Answer: Option A
This Question Belongs to Civil Engineering >> Irrigation Engineering
The additional expenditure involved on lining is A.
.
1. Identify given variables
The calculation involves the following parameters:
Total length (L): Given in kilometers (
).
Total perimeter (P): Given in meters (
).
Cost of lining (C): Given per square meter (
).
2. Convert units for consistency
Since the cost and perimeter are in meters, the length must also be converted into meters to calculate the area correctly.
Therefore, the total length in meters is:
3. Calculate total area
The surface area to be lined is the product of the perimeter of the lining and the total length of the canal.
4. Determine total cost
The total expenditure is found by multiplying the total area by the cost per square meter.
✅ Answer
The total additional expenditure involved on lining the canal is 1000PLC.