How many square tiles of 50 cm wide are required to cover a room's floor of 3 m width and 4 m length?

Options

A. 96
B. 84
C. 48
D. 240

Answer

To find out how many square tiles of 50 cm wide are required to cover a room's floor of 3 m width and 4 m length, we can follow these steps:

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

Here, the dimensions of the room are:
- Width = 3 m
- Length = 4 m

First, convert the dimensions from meters to centimeters:
- 3 m = 300 cm
- 4 m = 400 cm

Now, calculate the area:
\[ \text{Area} = 300 \, \text{cm} \times 400 \, \text{cm} = 120000 \, \text{cm}^2 \]

### Step 2: Calculate the area of one tile
Since the tiles are square and each side is 50 cm, the area of one tile is:
\[ \text{Area of one tile} = \text{Side} \times \text{Side} = 50 \, \text{cm} \times 50 \, \text{cm} = 2500 \, \text{cm}^2 \]

### Step 3: Calculate the number of tiles required
To find the number of tiles needed, divide the total area of the room by the area of one tile:
\[ \text{Number of tiles} = \frac{\text{Area of the room}}{\text{Area of one tile}} = \frac{120000 \, \text{cm}^2}{2500 \, \text{cm}^2} \]

Calculating this gives:
\[ \text{Number of tiles} = \frac{120000}{2500} = 48 \]

### Conclusion
The number of square tiles of 50 cm wide required to cover the floor of the room is **48 tiles**.

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