The total cost of flooring a room at Rs. 12.50 per m is Rs. 400 . If the length of the room is 8 m, its breadth is

Options

A. 6 m
B. 8 m
C. 4 m
D. 9 m

Answer

To find the breadth of the room, we can follow these steps:

### Step 1: Understand the given information
We know the following:
- Cost of flooring per square meter = Rs. 12.50
- Total cost of flooring = Rs. 400
- Length of the room (L) = 8 m
- Breadth of the room (B) = ?

### Step 2: Calculate the total area that can be floored
To find the total area that can be floored, we can use the formula:
\[ \text{Total Area} = \frac{\text{Total Cost}}{\text{Cost per square meter}} \]
Substituting the values:
\[ \text{Total Area} = \frac{400}{12.50} = 32 \text{ m}^2 \]

### Step 3: Use the area formula to find the breadth
The area of a rectangle (which is the shape of the room) is given by:
\[ \text{Area} = \text{Length} \times \text{Breadth} \]
We can substitute the known values into this formula:
\[ 32 = 8 \times B \]

### Step 4: Solve for the breadth
To find B, we can rearrange the equation:
\[ B = \frac{32}{8} = 4 \text{ m} \]

### Conclusion
The breadth of the room is **4 meters**.

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