Find the cost of flooring a room 6.5 m by 5m with square tiles of side 25 cm at the rate of rupes 4.70 per tile.

Answer

To find the cost of flooring a room measuring 6.5 m by 5 m with square tiles of side 25 cm at the rate of 4.70 rupees per tile, we can 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 = 6.5 m
- Breadth = 5 m

\[ \text{Area of the room} = 6.5 \, \text{m} \times 5 \, \text{m} = 32.5 \, \text{m}^2 \]

### Step 2: Convert the side of the tile from centimeters to meters.
The side of the tile is given as 25 cm. To convert this to meters:
\[ 25 \, \text{cm} = \frac{25}{100} \, \text{m} = 0.25 \, \text{m} \]

### Step 3: Calculate the area of one tile.
The area of a square tile can be calculated using the formula:
\[ \text{Area} = \text{side}^2 \]
Given:
- Side of the tile = 0.25 m

\[ \text{Area of one tile} = (0.25 \, \text{m})^2 = 0.0625 \, \text{m}^2 \]

### Step 4: Calculate the number of tiles required.
To find the number of tiles needed, divide the area of the room by the area of one tile:
\[ \text{Number of tiles} = \frac{\text{Area of the room}}{\text{Area of one tile}} \]
\[ \text{Number of tiles} = \frac{32.5 \, \text{m}^2}{0.0625 \, \text{m}^2} = 520 \, \text{tiles} \]

### Step 5: Calculate the total cost of the tiles.
To find the total cost, multiply the number of tiles by the cost per tile:
\[ \text{Total Cost} = \text{Number of tiles} \times \text{Cost per tile} \]
Given:
- Cost per tile = 4.70 rupees

\[ \text{Total Cost} = 520 \, \text{tiles} \times 4.70 \, \text{rupees} = 2444 \, \text{rupees} \]

### Final Answer:
The cost of flooring the room is **2444 rupees**.