Riya wants to cover the floor of a hall 15 m long and 4 m wide with square tiles. If each square tile is of side 25 cm, find the number of tiles required to cover the floor of the room.

Options

A. 216
B. 625
C. 600
D. 960

Answer

To find the number of square tiles required to cover the floor of a hall that is 15 m long and 4 m wide, with each tile having a side length of 25 cm, we can follow these steps:

### Step 1: Convert the dimensions of the hall from meters to centimeters.
- Since 1 meter = 100 centimeters, we convert the length and width of the hall.
- Length = 15 m = 15 × 100 cm = 1500 cm
- Width = 4 m = 4 × 100 cm = 400 cm

### Step 2: Calculate the area of the hall.
- The area of the hall can be calculated using the formula:
\[ \text{Area of the hall} = \text{Length} \times \text{Width} \]
- Area = 1500 cm × 400 cm = 600000 cm²

### Step 3: Calculate the area of one tile.
- The area of a square tile can be calculated using the formula:
\[ \text{Area of the tile} = \text{Side}^2 \]
- Area = (25 cm)² = 625 cm²

### Step 4: Calculate the number of tiles required.
- The number of tiles required can be found by dividing the area of the hall by the area of one tile:
\[ \text{Number of tiles} = \frac{\text{Area of the hall}}{\text{Area of one tile}} \]
- Number of tiles = \(\frac{600000 \text{ cm}^2}{625 \text{ cm}^2}\)

### Step 5: Perform the division.
- Number of tiles = 960

### Final Answer:
Riya will need **960 tiles** to cover the floor of the hall.

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