Find the cost of fencing a rectangular park of length 150 m and breadth 50 m at the rate of Rs 10 per metre.

Options

A. Rs 3000
B. Rs 4000
C. Rs 3500
D. Rs 2500

Answer

To find the cost of fencing a rectangular park with given dimensions, we will follow these steps:

### Step 1: Identify the dimensions of the park
The length (L) of the park is given as 150 meters and the breadth (B) is given as 50 meters.

### Step 2: Calculate the perimeter of the rectangular park
The formula for the perimeter (P) of a rectangle is:
\[ P = 2 \times (L + B) \]
Substituting the values:
\[ P = 2 \times (150 \, \text{m} + 50 \, \text{m}) \]
\[ P = 2 \times 200 \, \text{m} \]
\[ P = 400 \, \text{m} \]

### Step 3: Determine the cost of fencing per meter
The cost of fencing is given as Rs 10 per meter.

### Step 4: Calculate the total cost of fencing
To find the total cost (C) of fencing, we multiply the perimeter by the cost per meter:
\[ C = P \times \text{Cost per meter} \]
Substituting the values:
\[ C = 400 \, \text{m} \times 10 \, \text{Rs/m} \]
\[ C = 4000 \, \text{Rs} \]

### Final Answer
The total cost of fencing the rectangular park is Rs 4000.

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