A rectangular room is 9 m long and 6 m wide. Find the cost of covering the floor with carpet 2 m wide at 35 per metre.

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the area of the rectangular room.
The area of a rectangle is calculated using the formula:
\[ \text{Area} = \text{Length} \times \text{Width} \]

Given:
- Length of the room = 9 m
- Width of the room = 6 m

So,
\[ \text{Area} = 9 \, \text{m} \times 6 \, \text{m} = 54 \, \text{m}^2 \]

### Step 2: Determine the area of the carpet required.
Since the carpet will cover the entire floor of the room, the area of the carpet required is the same as the area of the room:
\[ \text{Area of carpet} = 54 \, \text{m}^2 \]

### Step 3: Calculate the length of the carpet needed.
We know the width of the carpet is 2 m. To find the length of the carpet, we can use the formula:
\[ \text{Length of carpet} = \frac{\text{Area of carpet}}{\text{Width of carpet}} \]

So,
\[ \text{Length of carpet} = \frac{54 \, \text{m}^2}{2 \, \text{m}} = 27 \, \text{m} \]

### Step 4: Calculate the cost of covering the floor with the carpet.
The cost is calculated by multiplying the length of the carpet by the rate per meter:
\[ \text{Cost} = \text{Length of carpet} \times \text{Rate per meter} \]

Given:
- Rate per meter = 35

So,
\[ \text{Cost} = 27 \, \text{m} \times 35 = 945 \]

### Final Answer:
The cost of covering the floor with carpet is **₹ 945**.

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