The length and breadth of a room are 6 m and 4m respectively. How many square metres of carpet are required to completely cover the floor of the room ? If the carpet costsRs. 240 a square metre, how much will it cost to cover the entire room ?

Answer

To solve the problem step by step, we will first find the area of the room and then calculate the cost of carpeting it.

### Step 1: Identify the dimensions of the room
- Length of the room = 6 meters
- Breadth of the room = 4 meters

### Step 2: Calculate the area of the room
- The area of a rectangle is calculated using the formula:
\[ \text{Area} = \text{Length} \times \text{Breadth} \]
- Substituting the values:
\[ \text{Area} = 6 \, \text{m} \times 4 \, \text{m} = 24 \, \text{m}^2 \]

### Step 3: Determine the amount of carpet required
- The area of the room is 24 square meters, which means 24 square meters of carpet are required to completely cover the floor.

### Step 4: Calculate the cost of the carpet
- The cost of carpet per square meter is Rs. 240.
- To find the total cost, multiply the area by the cost per square meter:
\[ \text{Total Cost} = \text{Area} \times \text{Cost per square meter} = 24 \, \text{m}^2 \times 240 \, \text{Rs/m}^2 \]
- Performing the multiplication:
\[ \text{Total Cost} = 5760 \, \text{Rs} \]

### Final Answer:
- The total cost to cover the entire room with carpet is Rs. 5760.

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