The length and breadth of a rectangular field are 120 mand 75 m respectively,
Find (i) the area of the field and the cost of turfing it at 15 per `m^(2)`
(ii) the perimeter of the field and the cost of fencing it at Rs. 40 per m.

Answer

To solve the given problem step by step, we will find the area and perimeter of the rectangular field, and then calculate the costs for turfing and fencing.

### Step 1: Find the Area of the Field
The area \( A \) of a rectangle is calculated using the formula:
\[ A = \text{Length} \times \text{Breadth} \]
Given:
- Length = 120 m
- Breadth = 75 m

Substituting the values:
\[ A = 120 \, \text{m} \times 75 \, \text{m} = 9000 \, \text{m}^2 \]

### Step 2: Calculate the Cost of Turfing
The cost of turfing is calculated by multiplying the area by the cost per square meter.
Given:
- Cost per square meter = Rs. 15

Calculating the total cost:
\[ \text{Cost of Turfing} = \text{Area} \times \text{Cost per m}^2 = 9000 \, \text{m}^2 \times 15 \, \text{Rs/m}^2 = 135000 \, \text{Rs} \]

### Step 3: Find the Perimeter of the Field
The perimeter \( P \) of a rectangle is calculated using the formula:
\[ P = 2 \times (\text{Length} + \text{Breadth}) \]
Substituting the values:
\[ P = 2 \times (120 \, \text{m} + 75 \, \text{m}) = 2 \times 195 \, \text{m} = 390 \, \text{m} \]

### Step 4: 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. 40

Calculating the total cost:
\[ \text{Cost of Fencing} = \text{Perimeter} \times \text{Cost per m} = 390 \, \text{m} \times 40 \, \text{Rs/m} = 15600 \, \text{Rs} \]

### Final Answers:
1. Area of the field = 9000 m²; Cost of turfing = Rs. 135000
2. Perimeter of the field = 390 m; Cost of fencing = Rs. 15600

---