Look at the image below.
A parallelogram. The segment representing the height of the parallelogram is in the middle of the figure, splitting the figure in 2 parts. The base of the parallelogram is 7 units and the height of the parallelogram is 5 units. The diagonal side length is 6 units.
\[5\]
\[6\]
\[7\]
What is the area of the parallelogram?
square units

The area of a parallelogram can be calculated using the formula:

\[
\text{Area} = \text{Base} \times \text{Height}
\]

Given:
- Base (\(b\)) = 7 units
- Height (\(h\)) = 5 units

Substituting the values into the formula:

\[
\text{Area} = 7 \times 5 = 35 \text{ square units}
\]

So, the area of the parallelogram is **35 square units**.

Would you like further details or explanations? Here are five related questions:

1. How would the area change if the base were increased to 10 units?
2. What is the formula for the area of a parallelogram if the height is not perpendicular to the base?
3. Can the diagonal length affect the area calculation directly? Why or why not?
4. How would you find the area of a parallelogram if only the side lengths and one angle are given?
5. What is the significance of the height in determining the area of a parallelogram?

**Tip:** The height in a parallelogram is always perpendicular to the base, which is crucial for calculating the area accurately.

Learn how to calculate the area of a parallelogram with a base of 7 units and a height of 5 units using the formula Area = Base × Height. Understand the geometric properties involved and explore related questions about parallelogram areas.

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