How many tiles whose length and breadth are `12` cm and `5`cm respectively will be needed to cover a rectangular region whose length and breadth are respectively :
`1` m and `144` cm .

Options

A. ` 230`
B. ` 220`
C. ` 240`
D. ` 260`

Answer

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

### Step 1: Convert the dimensions of the rectangular region into the same unit
The length of the rectangular region is given as `1 m` and the breadth as `144 cm`. We need to convert `1 m` into centimeters:
- 1 meter = 100 centimeters

### Step 2: Calculate the area of the rectangular region
Now, we can calculate the area of the rectangular region using the formula:
\[ \text{Area} = \text{Length} \times \text{Breadth} \]
Substituting the values:
\[ \text{Area} = 100 \, \text{cm} \times 144 \, \text{cm} = 14400 \, \text{cm}^2 \]

### Step 3: Calculate the area of one tile
Next, we calculate the area of one tile. The dimensions of the tile are given as `12 cm` (length) and `5 cm` (breadth). Using the area formula:
\[ \text{Area of one tile} = \text{Length} \times \text{Breadth} \]
Substituting the values:
\[ \text{Area of one tile} = 12 \, \text{cm} \times 5 \, \text{cm} = 60 \, \text{cm}^2 \]

### Step 4: 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:
\[ \text{Number of tiles} = \frac{\text{Area of rectangular region}}{\text{Area of one tile}} \]
Substituting the values:
\[ \text{Number of tiles} = \frac{14400 \, \text{cm}^2}{60 \, \text{cm}^2} = 240 \]

### Conclusion
Therefore, the number of tiles needed to cover the rectangular region is **240**.

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