A triangular park with sides 180 m, 160 m and 140 m has to be fenced. If the cost of fencing is 2.50 a metre, the cost of fencing in rupees is

Options

A. 120
B. 12000
C. 1200
D. 1250

Answer

To find the total cost of fencing a triangular park with sides measuring 180 m, 160 m, and 140 m, we will follow these steps:

### Step 1: Find the perimeter of the triangle.
The perimeter (P) of a triangle is the sum of the lengths of all its sides.

Given:
- Side 1 = 180 m
- Side 2 = 160 m
- Side 3 = 140 m

Calculating the perimeter:
\[ P = 180 + 160 + 140 \]
\[ P = 480 \text{ m} \]

### Step 2: Calculate the cost of fencing.
The cost of fencing is given as 2.50 rupees per meter.

To find the total cost (C) of fencing, we multiply the perimeter by the cost per meter:
\[ C = P \times \text{Cost per meter} \]
\[ C = 480 \text{ m} \times 2.50 \text{ rupees/m} \]
\[ C = 1200 \text{ rupees} \]

### Final Answer:
The total cost of fencing the triangular park is **1200 rupees**.

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