A rectangular plot is 125 m long and 72 m broad . Find the cost of fencing it at Rs. 27 per metre.

Options

A. Rs. 10645
B. Rs. 10638
C. Rs. 10639
D. Rs. 10649

Answer

To solve the problem of finding the cost of fencing a rectangular plot that is 125 m long and 72 m broad at a rate of Rs. 27 per meter, we will follow these steps:

### Step 1: Calculate the Perimeter of the Rectangle
The formula for the perimeter (P) of a rectangle is given by:
\[ P = 2 \times (L + B) \]
Where:
- \( L \) is the length of the rectangle
- \( B \) is the breadth of the rectangle

Substituting the given values:
- Length (L) = 125 m
- Breadth (B) = 72 m

Calculating the perimeter:
\[ P = 2 \times (125 + 72) \]
\[ P = 2 \times 197 \]
\[ P = 394 \text{ m} \]

### Step 2: Calculate the Cost of Fencing
The cost of fencing is calculated by multiplying the perimeter by the cost per meter of fencing.

The cost per meter is given as Rs. 27.

Calculating the total cost:
\[ \text{Cost of Fencing} = \text{Perimeter} \times \text{Cost per meter} \]
\[ \text{Cost of Fencing} = 394 \times 27 \]

Now, performing the multiplication:
\[ 394 \times 27 = 10,638 \text{ Rs} \]

### Final Answer
The cost of fencing the rectangular plot is Rs. 10,638.

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