The cost of fencing a square field at Rs 125 per metre is Rs 8000. find the length of each side of the field.

Options

A. 32m.
B. 80m.
C. 16m.
D. 252m

Answer

To find the length of each side of the square field, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We need to find the length of each side of a square field given the total cost of fencing and the cost per meter.

2. **Identify Given Information**:
- Cost of fencing per meter = Rs 125
- Total cost of fencing = Rs 8000

3. **Calculate the Perimeter**:
The perimeter (P) of the square field can be calculated using the formula:
\[ P = \frac{\text{Total Cost}}{\text{Cost per meter}} \]
Substituting the given values:
\[ P = \frac{8000}{125} \]

4. **Perform the Division**:
\[ P = 64 \text{ meters} \]

5. **Use the Perimeter to Find the Side Length**:
The formula for the perimeter of a square is:
\[ P = 4 \times \text{side} \]
We can rearrange this to find the side length:
\[ \text{side} = \frac{P}{4} \]
Substituting the calculated perimeter:
\[ \text{side} = \frac{64}{4} \]

6. **Calculate the Side Length**:
\[ \text{side} = 16 \text{ meters} \]

### Final Answer:
The length of each side of the square field is **16 meters**.

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