How many metres of the carpet 75 cm wide will be required to cover the floor of a room which is 20 metres long and 12 metres broad?

Answer

To find out how many meters of carpet are required to cover the floor of a room that is 20 meters long and 12 meters broad, follow these steps:

### Step 1: Calculate the area of the room
The area of the room can be calculated using the formula:
\[ \text{Area} = \text{Length} \times \text{Breadth} \]
Given:
- Length = 20 meters
- Breadth = 12 meters

So,
\[ \text{Area} = 20 \, \text{m} \times 12 \, \text{m} = 240 \, \text{m}^2 \]

### Step 2: Convert the width of the carpet from centimeters to meters
The width of the carpet is given as 75 cm. To convert this to meters, we use the conversion factor:
\[ 1 \, \text{cm} = 0.01 \, \text{m} \]
Thus,
\[ 75 \, \text{cm} = 75 \times 0.01 \, \text{m} = 0.75 \, \text{m} \]

### Step 3: Calculate the area covered by 1 meter of carpet
The area covered by 1 meter of carpet can be calculated as:
\[ \text{Area of carpet} = \text{Width} \times \text{Length} \]
Here, the length of the carpet we consider is 1 meter (since we want to find out how many such lengths we need). Therefore,
\[ \text{Area of carpet} = 0.75 \, \text{m} \times 1 \, \text{m} = 0.75 \, \text{m}^2 \]

### Step 4: Calculate the total length of carpet required
To find out how many meters of carpet are needed to cover the total area of the room, we divide the area of the room by the area covered by 1 meter of carpet:
\[ \text{Length of carpet required} = \frac{\text{Area of room}}{\text{Area of carpet}} \]
Substituting the values:
\[ \text{Length of carpet required} = \frac{240 \, \text{m}^2}{0.75 \, \text{m}^2} = 320 \, \text{m} \]

### Final Answer
The total length of carpet required to cover the floor of the room is **320 meters**.

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