The area of a square field isd `1444m^(2)`. Find the cost of fencing the field at the rate of `Rs. 5` per metre.

Options

A. `Rs. 760`
B. `Rs. 720`
C. `Rs. 680`
D. `Rs. 640`

Answer

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

### Step 1: Understand the formula for the area of a square.
The area \( A \) of a square is given by the formula:
\[ A = \text{side} \times \text{side} = \text{side}^2 \]

### Step 2: Set up the equation using the given area.
We know the area of the square field is \( 1444 \, m^2 \). Therefore, we can write:
\[ \text{side}^2 = 1444 \]

### Step 3: Find the length of one side of the square.
To find the side length, we take the square root of both sides:
\[ \text{side} = \sqrt{1444} \]
Calculating the square root:
\[ \text{side} = 38 \, m \]

### Step 4: Calculate the perimeter of the square.
The perimeter \( P \) of a square is given by the formula:
\[ P = 4 \times \text{side} \]
Substituting the value of the side:
\[ P = 4 \times 38 = 152 \, m \]

### Step 5: Calculate the cost of fencing.
The cost of fencing is calculated by multiplying the perimeter by the cost per meter. Given that the cost is \( Rs. 5 \) per meter:
\[ \text{Cost} = P \times \text{cost per meter} = 152 \times 5 \]
Calculating the total cost:
\[ \text{Cost} = 760 \, Rs \]

### Final Answer:
The cost of fencing the field is \( Rs. 760 \).

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