A square field has an area of 50625 `m^2`. Find the cost of fencing around it at Rs 15 per metre. (in Rs)

Options

A. 12500
B. 17500
C. 13500
D. 16250

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Find the side length of the square field
The area of a square is given by the formula:
\[ \text{Area} = \text{side}^2 \]
Given that the area of the square field is 50,625 m², we can set up the equation:
\[ \text{side}^2 = 50625 \]
To find the side length, we take the square root of the area:
\[ \text{side} = \sqrt{50625} \]
Calculating the square root:
\[ \text{side} = 225 \text{ m} \]

### Step 2: Calculate the perimeter of the square field
The perimeter \( P \) of a square can be calculated using the formula:
\[ P = 4 \times \text{side} \]
Substituting the value of the side:
\[ P = 4 \times 225 = 900 \text{ m} \]

### Step 3: Calculate the cost of fencing
The cost of fencing is calculated by multiplying the perimeter by the cost per meter. Given that the cost per meter is Rs 15, we have:
\[ \text{Cost} = \text{Perimeter} \times \text{Cost per meter} \]
Substituting the values:
\[ \text{Cost} = 900 \times 15 \]
Calculating the total cost:
\[ \text{Cost} = 13500 \text{ Rs} \]

### Final Answer
The cost of fencing around the square field is Rs 13,500.

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