The area of a square is 42.25 `m^2`:
If the tiles measuring 13 cm `xx` 13 cm are paved on the square area, find how many tiles are used for paving it?

Answer

To find out how many tiles of size 13 cm x 13 cm can be used to pave a square area of 42.25 m², we will follow these steps:

### Step 1: Calculate the area of the square
The area of the square is given as 42.25 m².

### Step 2: Convert the area of the square to cm²
Since the tiles are measured in centimeters, we need to convert the area of the square from m² to cm².

1 m² = 10,000 cm², so:
\[ \text{Area of the square in cm²} = 42.25 \, \text{m²} \times 10,000 \, \text{cm²/m²} = 422,500 \, \text{cm²} \]

### Step 3: Calculate the area of one tile
The area of one tile measuring 13 cm x 13 cm is calculated as follows:
\[ \text{Area of one tile} = 13 \, \text{cm} \times 13 \, \text{cm} = 169 \, \text{cm²} \]

### Step 4: Calculate the number of tiles needed
To find the number of tiles required to cover the square area, we divide the area of the square by the area of one tile:
\[ \text{Number of tiles} = \frac{\text{Area of the square}}{\text{Area of one tile}} = \frac{422,500 \, \text{cm²}}{169 \, \text{cm²}} \approx 2497.02 \]

Since we cannot have a fraction of a tile, we round down to the nearest whole number:
\[ \text{Number of tiles} = 2497 \]

### Final Answer
Thus, the number of tiles used for paving the square area is **2497 tiles**.

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