In the previous question, minimum possible error in area measurement can be.

Options

A. `(a)+- 0.02 cm^2`
B. `(b)+- 0.01 cm^2`.
C. `(c)+- 0.03 cm^2`.
D. (d)zero

Answer

To solve the question regarding the minimum possible error in area measurement, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Formula for Area**:
The area \( A \) of a rectangle (or any shape) is given by the formula:
\[ A = L \times W \]
where \( L \) is the length and \( W \) is the width.

2. **Relative Error in Area**:
To find the relative error in the area, we can use the formula for relative error:
\[ \frac{\Delta A}{A} = \frac{\Delta L}{L} + \frac{\Delta W}{W} \]
where \( \Delta A \) is the error in area, \( \Delta L \) is the error in length, and \( \Delta W \) is the error in width.

3. **Consider Minimum Possible Errors**:
The minimum possible error in any measurement can theoretically be zero. This means:
\[ \Delta L = 0 \quad \text{and} \quad \Delta W = 0 \]

4. **Calculate Minimum Error in Area**:
If both the errors in length and width are zero, then substituting these values into the relative error formula gives:
\[ \frac{\Delta A}{A} = \frac{0}{L} + \frac{0}{W} = 0 \]
This implies that:
\[ \Delta A = 0 \times A = 0 \]

5. **Conclusion**:
Therefore, the minimum possible error in area measurement can indeed be:
\[ \Delta A = 0 \]

### Final Answer:
The minimum possible error in area measurement can be \( 0 \).

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