Question

Find the total cost of fencing and ploughing a rectangular field $(16m\times 8m)$ at the rate of ₹10/m and $₹10/m^2$ respectively.

• A. ₹ 1700
• B. ₹ 1750
• C. ₹ 1760
• D. ₹ 1660

Answer 1

The correct option is C

₹ 1760

Step 1: Find the perimeter of the field.

Perimeter $=2(l+b)=2(16m+8m)=2\times 24m=48m$

Step 2: Find the area of the field.

Area $=lb=16m\times 8m=128m^2$

Step 3: Find the cost of fencing by multiply the quantity obtained in Step 1 by $₹.10/m$.

Cost $=₹10\times 48m=₹.480m$

Step 4.: Find the cost of ploughing by multiplying the quantity obtained in Step 2 by ₹ 10/${\text{m}}^2$.

Cost $=₹.10/{\text{m}}^2\times 128{\text{m}}^2=₹.1280$

Step 5: Find the total cost by adding the quantities obtained in steps 3 and 4.

Total cost = ₹. (480 + 1280) = ₹ 1760