Find the cost of carpeting a room 17 m long and 9m wide with a carpet 60 cm broad at 40 paise per metre.

Answer

To find the cost of carpeting a room that is 17 m long and 9 m wide with a carpet that is 60 cm broad at a rate of 40 paise per meter, we can follow these steps:

### Step 1: Calculate the area of the room.
The area of the room can be calculated using the formula:
\[ \text{Area} = \text{Length} \times \text{Width} \]
Given:
- Length = 17 m
- Width = 9 m

So,
\[ \text{Area} = 17 \, \text{m} \times 9 \, \text{m} = 153 \, \text{m}^2 \]

### Step 2: Convert the width of the carpet from centimeters to meters.
The width of the carpet is given as 60 cm. To convert this to meters:
\[ \text{Width in meters} = \frac{60 \, \text{cm}}{100} = 0.6 \, \text{m} \]

### Step 3: Calculate the total length of the carpet needed.
To find the total length of the carpet required, we can use the formula:
\[ \text{Length of carpet} = \frac{\text{Area of the room}}{\text{Width of the carpet}} \]
Substituting the values:
\[ \text{Length of carpet} = \frac{153 \, \text{m}^2}{0.6 \, \text{m}} = 255 \, \text{m} \]

### Step 4: Calculate the cost of the carpet.
The cost of the carpet is given as 40 paise per meter. First, we need to convert paise to rupees:
\[ \text{Cost per meter in rupees} = \frac{40 \, \text{paise}}{100} = 0.40 \, \text{rupees} \]
Now, calculate the total cost:
\[ \text{Total cost} = \text{Length of carpet} \times \text{Cost per meter} \]
Substituting the values:
\[ \text{Total cost} = 255 \, \text{m} \times 0.40 \, \text{rupees} = 102 \, \text{rupees} \]

### Final Answer:
The cost of carpeting the room is **102 rupees**.

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