Discussion
The cost of mowing a square lawn at the rate of INR 700 per hectare is INR 4,375. The cost of putting a fence around the lawn at the rate of INR 45·45 per meter would be (in INR)
Answer: C
The fencing would cost INR 45,450.
The mowing cost gives the area, the area gives the side of the square, and the side gives the perimeter:
\[ \begin{aligned} \text{area} &= 4375 / 700 = 6.25 \text{ ha} \\ &= 62500 \text{ m}^2 \\ \text{side} &= \sqrt{62500} = 250 \text{ m} \\ \text{perimeter} &= 4 \times 250 = 1000 \text{ m} \end{aligned} \]
\[ \text{cost} = 1000 \times 45.45 = 45450 \]
The step most often missed is the conversion of 1 hectare to 10,000 square metres. 43,750 is just ten times the mowing cost, and 10,000 and 25,000 are not the price of 1,000 metres at INR 45·45.
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