The cost of putting a fence around a square field at Rs 35 per cm is Rs 4480. find the length of each side of the field.

Options

A. 32m
B. 16m
C. 64m
D. None of these

Answer

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

### Step 1: Determine the Perimeter from the Total Cost
The total cost of putting a fence around the square field is given as Rs 4480, and the cost per meter is Rs 35. To find the perimeter of the field, we can use the formula:

\[ \text{Perimeter} = \frac{\text{Total Cost}}{\text{Cost per meter}} \]

Substituting the values:

\[ \text{Perimeter} = \frac{4480}{35} \]

### Step 2: Calculate the Perimeter
Now, we perform the division:

\[ \text{Perimeter} = 128 \text{ meters} \]

### Step 3: Relate the Perimeter to the Side Length
For a square, the perimeter (P) is related to the length of each side (s) by the formula:

\[ P = 4 \times s \]

### Step 4: Solve for the Length of Each Side
We can rearrange the formula to find the length of each side:

\[ s = \frac{P}{4} \]

Substituting the perimeter we calculated:

\[ s = \frac{128}{4} \]

### Step 5: Calculate the Length of Each Side
Now, we perform the division:

\[ s = 32 \text{ meters} \]

### Final Answer
The length of each side of the square field is **32 meters**.

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