The area of a square field is 1 hectare . What is its perimeter ?

Answer

To solve the problem step by step, we will find the perimeter of a square field given its area.

### Step 1: Understand the area of the square
The area of a square is given as 1 hectare. We know that:
1 hectare = 10,000 square meters.

### Step 2: Set the area of the square
Thus, the area of the square field is:
Area = 10,000 m².

### Step 3: Use the formula for the area of a square
The area (A) of a square is calculated using the formula:
\[ A = a^2 \]
where \( a \) is the length of one side of the square.

### Step 4: Solve for the side length
We can find the side length \( a \) by taking the square root of the area:
\[ a = \sqrt{A} = \sqrt{10,000} \]
Calculating this gives:
\[ a = 100 \text{ meters} \]

### Step 5: Calculate the perimeter
The perimeter (P) of a square is given by the formula:
\[ P = 4 \times a \]
Substituting the value of \( a \):
\[ P = 4 \times 100 = 400 \text{ meters} \]

### Conclusion
Therefore, the perimeter of the square field is:
\[ \text{Perimeter} = 400 \text{ meters} \]

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