The dimensions of the floor of recangular hall is `4mxx 3m`. The floor of the hall is to be tile fully with `8cm xx6 cm` rectangular tiles without breaking tiles to smaller sizes. The number of tiles required is:

Options

A. 4800
B. 2600
C. 2500
D. 2400

Answer

To find the number of tiles required to tile the floor of a rectangular hall, we will follow these steps:

### Step 1: Calculate the area of the hall
The dimensions of the hall are given as 4 meters by 3 meters.

\[ \text{Area of the hall} = \text{Length} \times \text{Width} = 4 \, \text{m} \times 3 \, \text{m} = 12 \, \text{m}^2 \]

### Step 2: Convert the area of the hall from square meters to square centimeters
Since the tiles are measured in centimeters, we need to convert the area of the hall from square meters to square centimeters.

1 meter = 100 centimeters, so:
\[ 1 \, \text{m}^2 = (100 \, \text{cm}) \times (100 \, \text{cm}) = 10,000 \, \text{cm}^2 \]

Thus,
\[ \text{Area of the hall in cm}^2 = 12 \, \text{m}^2 \times 10,000 \, \text{cm}^2/\text{m}^2 = 120,000 \, \text{cm}^2 \]

### Step 3: Calculate the area of one tile
The dimensions of each tile are given as 8 cm by 6 cm.

\[ \text{Area of one tile} = \text{Length} \times \text{Width} = 8 \, \text{cm} \times 6 \, \text{cm} = 48 \, \text{cm}^2 \]

### Step 4: Calculate the number of tiles required
To find the number of tiles required, we divide the total area of the hall by the area of one tile.

\[ \text{Number of tiles required} = \frac{\text{Area of the hall}}{\text{Area of one tile}} = \frac{120,000 \, \text{cm}^2}{48 \, \text{cm}^2} = 2500 \]

Thus, the number of tiles required to tile the hall is **2500 tiles**.

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