A rectangular garden is 175 m long and 96 m broad . Find the cost of fencing it at Rs.17.50 per metre .Also ,find the cost of ploughing it at Rs. 4.50 paise per square metre.

Answer

To solve the problem step by step, we will find the cost of fencing the rectangular garden and the cost of ploughing it.

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

Given:
- Length = 175 m
- Breadth = 96 m

Substituting the values:
\[ P = 2 \times (175 + 96) \]
\[ P = 2 \times 271 \]
\[ P = 542 \text{ m} \]

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

Given:
- Cost per meter = Rs. 17.50

Calculating the total cost:
\[ \text{Cost of Fencing} = \text{Perimeter} \times \text{Cost per meter} \]
\[ \text{Cost of Fencing} = 542 \times 17.50 \]
\[ \text{Cost of Fencing} = 9485 \text{ Rs} \]

### Step 3: Find the Area of the Garden
The formula for the area (A) of a rectangle is:
\[ A = \text{Length} \times \text{Breadth} \]

Substituting the values:
\[ A = 175 \times 96 \]
\[ A = 16800 \text{ m}^2 \]

### Step 4: Calculate the Cost of Ploughing
The cost of ploughing is calculated by multiplying the area by the cost per square meter.

Given:
- Cost per square meter = Rs. 4.50

Calculating the total cost:
\[ \text{Cost of Ploughing} = \text{Area} \times \text{Cost per square meter} \]
\[ \text{Cost of Ploughing} = 16800 \times 4.50 \]
\[ \text{Cost of Ploughing} = 75600 \text{ Rs} \]

### Final Answers
- Cost of Fencing: Rs. 9485
- Cost of Ploughing: Rs. 75600

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