The total cost of flooring a room is Rs 2160. The rate of flooring is Rs 45 per square metre. If the room is 8 metres long, then find its breadth.

Options

A. 11m
B. 7m
C. 12m
D. 6m

Answer

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

### Step 1: Understand the relationship between cost, rate, and area
The total cost of flooring a room can be calculated using the formula:
\[ \text{Total Cost} = \text{Rate} \times \text{Area} \]

### Step 2: Calculate the area of the room
We know:
- Total Cost = Rs 2160
- Rate = Rs 45 per square metre

Using the formula:
\[ \text{Area} = \frac{\text{Total Cost}}{\text{Rate}} \]

Substituting the values:
\[ \text{Area} = \frac{2160}{45} \]

### Step 3: Perform the division
Calculating the area:
\[ \text{Area} = 48 \text{ square metres} \]

### Step 4: Use the area to find the breadth
The area of a rectangle is given by:
\[ \text{Area} = \text{Length} \times \text{Breadth} \]

We know the length of the room is 8 metres. Therefore:
\[ 48 = 8 \times \text{Breadth} \]

### Step 5: Solve for breadth
To find the breadth, we rearrange the equation:
\[ \text{Breadth} = \frac{48}{8} \]

Calculating the breadth:
\[ \text{Breadth} = 6 \text{ metres} \]

### Final Answer
The breadth of the room is **6 metres**.

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