A triangular garden needs to be fenced. If the length of the sides of the garden are 233 m, 225 m and 342 m, find the cost of fencing it at the rate of Rs. 35 per metre. 

Options

A. Rs. 2800
B. Rs. 28000
C. Rs. 27035
D. Rs. 28035

Answer

To find the cost of fencing a triangular garden with sides measuring 233 m, 225 m, and 342 m, we will follow these steps:

### Step 1: Calculate the Perimeter of the Triangle
The perimeter of a triangle is the sum of the lengths of all its sides.

Given:
- Side 1 (AB) = 233 m
- Side 2 (BC) = 225 m
- Side 3 (CA) = 342 m

**Calculation:**
\[ \text{Perimeter} = AB + BC + CA = 233 \, \text{m} + 225 \, \text{m} + 342 \, \text{m} \]
\[ \text{Perimeter} = 800 \, \text{m} \]

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

Given:
- Cost per meter = Rs. 35

**Calculation:**
\[ \text{Total Cost} = \text{Perimeter} \times \text{Cost per meter} = 800 \, \text{m} \times 35 \, \text{Rs/m} \]
\[ \text{Total Cost} = 28000 \, \text{Rs} \]

### Conclusion
The cost of fencing the triangular garden is Rs. 28,000.

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