The area of a rectangle of size `1.23 xx 2.345 cm` is

Options

A. `2.88cm^(2)`
B. `2.884cm^(2)`
C. `2.9cm^(2)`
D. `2.88435cm^(2)`

Answer

To find the area of a rectangle given its dimensions, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the dimensions of the rectangle**:
- Length (L) = 1.23 cm
- Breadth (B) = 2.345 cm

2. **Use the formula for the area of a rectangle**:
- The area (A) of a rectangle is calculated using the formula:
\[ A = L \times B \]

3. **Substitute the values into the formula**:
- Now we substitute the values of length and breadth into the formula:
\[ A = 1.23 \, \text{cm} \times 2.345 \, \text{cm} \]

4. **Perform the multiplication**:
- Carry out the multiplication:
\[ A = 1.23 \times 2.345 = 2.88435 \, \text{cm}^2 \]

5. **Determine the number of significant figures**:
- The dimensions given (1.23 and 2.345) have 3 significant figures and 4 significant figures, respectively. The result should be reported with the least number of significant figures, which is 3.

6. **Round the result to the appropriate significant figures**:
- Rounding 2.88435 to 3 significant figures gives us:
\[ A \approx 2.88 \, \text{cm}^2 \]

### Final Answer:
The area of the rectangle is \(2.88 \, \text{cm}^2\).

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