Find the cost of fencing a rectangular field `260` `m` long and `175` `m` wide at `Rs` `40` per meter..

Options

A. `"Rs. 34,800"`
B. `"Rs. 48,000"`
C. `"Rs. 52,000"`
D. None of the above

Answer

To find the cost of fencing a rectangular field that is 260 m long and 175 m wide at Rs. 40 per meter, we can follow these steps:

### Step 1: Calculate the Perimeter of the Rectangle
The formula for the perimeter (P) of a rectangle is given by:
\[ P = 2 \times ( \text{Length} + \text{Breadth} ) \]

Here, the Length (L) is 260 m and the Breadth (B) is 175 m.

### Step 2: Substitute the Values into the Formula
Substituting the values into the perimeter formula:
\[ P = 2 \times ( 260 + 175 ) \]

### Step 3: Calculate the Sum of Length and Breadth
First, we need to add the Length and Breadth:
\[ 260 + 175 = 435 \]

### Step 4: Multiply by 2 to Find the Perimeter
Now, we multiply the sum by 2:
\[ P = 2 \times 435 = 870 \, \text{m} \]

### Step 5: Calculate the Cost of Fencing
The cost of fencing is given as Rs. 40 per meter. To find the total cost (C), we multiply the perimeter by the cost per meter:
\[ C = 870 \times 40 \]

### Step 6: Perform the Multiplication
Now, we calculate the total cost:
\[ C = 870 \times 40 = 34,800 \, \text{Rs} \]

### Final Answer
The total cost of fencing the rectangular field is Rs. 34,800.

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