Directions : In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as
Assertion : The area of trapezium if its parallel sides are lm and 1.2 m and the perpendicular distance between them is 0.8 m is 0.98 `m^2`.
Reason : Area of trapezium `= (1)/(2)` sum of its parallel sides `xx` height

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not the correct explanation of assertion.
C. If assertion is true but reason is false.
D. If assertion is false but reason is true.

Answer

To solve the problem, we need to verify the assertion and reason provided in the question about the area of a trapezium.

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Length of the first parallel side (a) = 1 m
- Length of the second parallel side (b) = 1.2 m
- Height (h) = 0.8 m

2. **Use the Formula for the Area of a Trapezium**:
The formula for the area (A) of a trapezium is given by:
\[ A = \frac{1}{2} \times (a + b) \times h \]

3. **Substitute the Values into the Formula**:
Substitute the values of a, b, and h into the formula:
\[ A = \frac{1}{2} \times (1 + 1.2) \times 0.8 \]

4. **Calculate the Sum of the Parallel Sides**:
Calculate \(1 + 1.2\):
\[ 1 + 1.2 = 2.2 \]

5. **Calculate the Area**:
Now substitute this sum back into the area formula:
\[ A = \frac{1}{2} \times 2.2 \times 0.8 \]

6. **Perform the Multiplication**:
First, calculate \(2.2 \times 0.8\):
\[ 2.2 \times 0.8 = 1.76 \]
Now, calculate \(\frac{1}{2} \times 1.76\):
\[ A = \frac{1.76}{2} = 0.88 \, m^2 \]

7. **Conclusion**:
The calculated area of the trapezium is \(0.88 \, m^2\), not \(0.98 \, m^2\) as stated in the assertion. Therefore, the assertion is incorrect.

8. **Evaluate the Reason**:
The reason states that the area of a trapezium is calculated using the formula provided, which is indeed correct.

### Final Answer:
- Assertion: **Incorrect**
- Reason: **Correct**