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 a rhombus whose side is 6 cm and altitude is 4 cm is 24 `cm^2`.
Reason : Area of a rhombus is sometimes equal to area of parallelogram as every parallelogram is a rhombus.

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 question, we need to analyze the assertion and the reason provided.

### Step 1: Understand the Assertion
The assertion states that the area of a rhombus whose side is 6 cm and altitude (height) is 4 cm is 24 cm².

### Step 2: Use the Area Formula for a Rhombus
The area \( A \) of a rhombus can be calculated using the formula:
\[ A = \text{Base} \times \text{Height} \]
In this case, the base is the length of one side of the rhombus, which is 6 cm, and the height (altitude) is given as 4 cm.

### Step 3: Calculate the Area
Substituting the values into the formula:
\[ A = 6 \, \text{cm} \times 4 \, \text{cm} = 24 \, \text{cm}^2 \]
Thus, the assertion is correct.

### Step 4: Understand the Reason
The reason states that the area of a rhombus is sometimes equal to the area of a parallelogram as every parallelogram is a rhombus.

### Step 5: Analyze the Reason
This statement is incorrect. While every rhombus is indeed a type of parallelogram, not every parallelogram is a rhombus. Therefore, the reason provided is false.

### Conclusion
The assertion is correct, but the reason is incorrect.

### Final Answer
- Assertion: True
- Reason: False

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