Let's analyze and solve the problem step by step.

Given:

• A parallelogram with a base = 2 and an area = w square units.
• The formula for the area of a parallelogram is: $\text{Area} = \text{Base} \times \text{Height}$
• From the given values: $w = 2 \times y$ (since $y$ is the height corresponding to base 2).

Solving for $y$:

$y = \frac{w}{2}$

Answer Choice:

The correct answer is C. $\frac{w}{2}$.

Would you like a further breakdown of any part?

Related Questions:

1. What is the general formula for the area of a parallelogram?
2. How can the height of a parallelogram be determined given the area and base?
3. What happens if the given base of the parallelogram changes?
4. How does a parallelogram differ from a rectangle in terms of area calculation?
5. What are the properties of a parallelogram that make this formula valid?

Tip:

Always ensure you are using the correct base and corresponding height when calculating the area of a parallelogram.