Let's tackle the problem step by step.
### Part (क)
1. Calculate the number of turfs required:
- Given:
- Length of the garden = 12 meters
- Width of the garden = 6 meters
- Side of one square turf = 0.6 meters (60 cm)
- First, calculate the area of the garden:
[tex]\[
\text{Area of the garden} = \text{Length} \times \text{Width} = 12 \, \text{m} \times 6 \, \text{m} = 72 \, \text{square meters}
\][/tex]
- Next, calculate the area of one turf:
[tex]\[
\text{Area of one turf} = (\text{Side of the turf})^2 = (0.6 \, \text{m})^2 = 0.36 \, \text{square meters}
\][/tex]
- To find the number of turfs needed, divide the total area of the garden by the area of one turf:
[tex]\[
\text{Number of turfs required} = \frac{\text{Area of the garden}}{\text{Area of one turf}} = \frac{72 \, \text{square meters}}{0.36 \, \text{square meters}} = 200 \, \text{turfs}
\][/tex]
Thus, the garden requires 200 turfs.
---
### Part (ख)
2. Calculate the total cost and comment on the wages and the cost of the turfs:
- Given:
- Price of one turf = Rs. 110
- Number of turfs required = 200 turfs
- Daily wage of one worker = Rs. 1500
- Number of workers = 2
- Number of days = 2
- First, calculate the total cost of buying the turfs:
[tex]\[
\text{Total cost of turfs} = \text{Number of turfs} \times \text{Price of one turf} = 200 \, \text{turfs} \times 110 \, \text{Rs/turf} = 22000 \, \text{Rs}
\][/tex]
- Next, calculate the total wages paid to the workers:
[tex]\[
\text{Total wages} = \text{Daily wage} \times \text{Number of workers} \times \text{Number of days} = 1500 \, \text{Rs/day} \times 2 \, \text{workers} \times 2 \, \text{days} = 6000 \, \text{Rs}
\][/tex]
- Finally, calculate the total cost (cost of turfs + wages):
[tex]\[
\text{Total cost} = 22000 \, \text{Rs} + 6000 \, \text{Rs} = 28000 \, \text{Rs}
\][/tex]
The total cost to lay down the turfs, including both the cost of the turfs and the wages, amounts to Rs. 28,000.
Comment:
- The cost of the turfs is Rs. 22,000.
- The total wages paid to the workers amount to Rs. 6,000.
- Therefore, the combined cost for laying down the turfs in the garden comes to Rs. 28,000, with the majority of the expense being the cost of the turfs.
