How many tiles whose length and breadth are 12 cm and 5cm respectively will be needed to cover a rectangular region whose length and breadth are respectively :
70 cm and 36 cm

Answer

To solve the problem of how many tiles are needed to cover a rectangular region, we can follow these steps:

### Step 1: Calculate the area of the rectangular region.
The area of a rectangle is given by the formula:
\[ \text{Area} = \text{Length} \times \text{Breadth} \]
For the rectangular region, the length is 70 cm and the breadth is 36 cm. Therefore:
\[ \text{Area of the rectangular region} = 70 \, \text{cm} \times 36 \, \text{cm} = 2520 \, \text{cm}^2 \]

### Step 2: Calculate the area of one tile.
The area of one tile can also be calculated using the same formula:
\[ \text{Area of one tile} = \text{Length} \times \text{Breadth} \]
For the tile, the length is 12 cm and the breadth is 5 cm. Therefore:
\[ \text{Area of one tile} = 12 \, \text{cm} \times 5 \, \text{cm} = 60 \, \text{cm}^2 \]

### Step 3: Calculate the number of tiles needed.
To find the number of tiles required to cover the rectangular region, we divide the area of the rectangular region by the area of one tile:
\[ \text{Number of tiles} = \frac{\text{Area of the rectangular region}}{\text{Area of one tile}} = \frac{2520 \, \text{cm}^2}{60 \, \text{cm}^2} = 42 \]

### Conclusion:
Thus, the number of tiles required to cover the rectangular region is **42 tiles**.

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