Kishan Chand is a very labourious farmer , he erected a fence around his paddy field in a square shape . He used 26 poles in each side , each at a distance of 4 m . What is the area of field ?

Options

A. 1.6 hectare
B. 2.6 hectare
C. 5.76 hectare
D. 1 hectare

Answer

To find the area of Kishan Chand's square paddy field, we can follow these steps:

### Step 1: Determine the number of gaps between the poles
Since there are 26 poles on each side of the square, the number of gaps between the poles will be one less than the number of poles. Therefore, the number of gaps on each side is:
\[ \text{Number of gaps} = 26 - 1 = 25 \]

### Step 2: Calculate the length of one side of the square
Each gap between the poles is 4 meters. So, the total length of one side of the square can be calculated by multiplying the number of gaps by the distance between the poles:
\[ \text{Length of one side} = \text{Number of gaps} \times \text{Distance between poles} \]
\[ \text{Length of one side} = 25 \times 4 \, \text{m} = 100 \, \text{m} \]

### Step 3: Calculate the area of the square field
The area \( A \) of a square is given by the formula:
\[ A = \text{side} \times \text{side} \]
Since we have found that the length of one side is 100 meters:
\[ A = 100 \, \text{m} \times 100 \, \text{m} = 10,000 \, \text{m}^2 \]

### Conclusion
The area of Kishan Chand's paddy field is:
\[ \text{Area} = 10,000 \, \text{m}^2 \]

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