To find the cost of carpeting the room, we need to follow these steps:
- Calculate the area of the room in square meters.
- Determine the total length of carpet required in meters.
- Calculate the total cost by multiplying the length of carpet required by the price per meter.
Let's solve the problem:
- Calculate the Area of the Room:
- Length of the room = 15 m
- Width of the room = 11 m
- Area = Length × Width = 15 m × 11 m = \(165 \, \text{m}^2\)
- Determine the Total Length of Carpet Needed:
- Carpet width = 75 cm = \(0.75 \, \text{m}\)
- Total area to be carpeted = \(165 \, \text{m}^2\)
- Total length of carpet required = \(\frac{{\text{Total area}}}{{\text{Carpet width}}} = \frac{165}{0.75} = 220 \, \text{m}\)
- Calculate the Total Cost:
- Price of carpet per meter = ₹13
- Total cost = Length of carpet × Price per meter = \(220 \, \text{m} \times 13 \, \text{₹/m} = ₹2,860\)
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