Size of a rectangular premises is `37.63mxx30.53m` respectively. If the flooring in to be done by square tiles, find the number of tiles?

Options

A. 2369
B. 2279
C. 2149
D. 2504

Answer

To find the number of square tiles required to cover the rectangular premises of size 37.63 m x 30.53 m, we will follow these steps:

### Step 1: Calculate the Area of the Rectangular Premises
The area of a rectangle is given by the formula:
\[ \text{Area} = \text{Length} \times \text{Width} \]

Here, the length is 37.63 m and the width is 30.53 m.

\[ \text{Area} = 37.63 \, \text{m} \times 30.53 \, \text{m} = 1147.5789 \, \text{m}^2 \]

### Step 2: Determine the Size of the Square Tile
Assuming the size of each square tile is 0.71 m x 0.71 m (derived from the SCF mentioned in the transcript), the area of one tile can be calculated as follows:

\[ \text{Area of one tile} = \text{Side} \times \text{Side} = 0.71 \, \text{m} \times 0.71 \, \text{m} = 0.5041 \, \text{m}^2 \]

### Step 3: Calculate the Number of Tiles Required
To find the number of tiles needed, divide the total area of the premises by the area of one tile:

\[ \text{Number of tiles} = \frac{\text{Area of the premises}}{\text{Area of one tile}} = \frac{1147.5789 \, \text{m}^2}{0.5041 \, \text{m}^2} \approx 2274.68 \]

Since we cannot have a fraction of a tile, we round up to the nearest whole number:

\[ \text{Number of tiles} = 2275 \]

### Final Answer
The total number of square tiles required to cover the rectangular premises is **2275 tiles**.

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