Ashu wants to lay tiles on the floor of her house which is 10 m long and 8 m wide. If the side of each tile which is square in shape is 2 m, then the number of tiles needed to cover the whole floor is

Options

A. 20
B. 30
C. 25
D. 35

Answer

To find out how many tiles Ashu needs to cover the floor of her house, we can follow these steps:

### Step 1: Calculate the Area of the Floor
The area of the floor can be calculated using the formula:
\[ \text{Area of the floor} = \text{Length} \times \text{Width} \]

Given:
- Length = 10 m
- Width = 8 m

Calculating:
\[ \text{Area of the floor} = 10 \, \text{m} \times 8 \, \text{m} = 80 \, \text{m}^2 \]

### Step 2: Calculate the Area of One Tile
Since the tile is square in shape, the area can be calculated using the formula:
\[ \text{Area of one tile} = \text{Side} \times \text{Side} \]

Given:
- Side of the tile = 2 m

Calculating:
\[ \text{Area of one tile} = 2 \, \text{m} \times 2 \, \text{m} = 4 \, \text{m}^2 \]

### Step 3: Calculate the Number of Tiles Needed
To find the number of tiles needed, we divide the area of the floor by the area of one tile:
\[ \text{Number of tiles} = \frac{\text{Area of the floor}}{\text{Area of one tile}} \]

Calculating:
\[ \text{Number of tiles} = \frac{80 \, \text{m}^2}{4 \, \text{m}^2} = 20 \]

### Conclusion
Ashu will need **20 tiles** to cover the entire floor.

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