
If x = 7 units and h = 6 units, then what is the area of the rhombus pictured above?

The area \( A \) of a rhombus can be calculated using the formula:

\[
A = x \cdot h
\]

where:
- \( x \) is the length of one of the sides (base) of the rhombus.
- \( h \) is the height, which is the perpendicular distance between two opposite sides.

Given:
- \( x = 7 \) units
- \( h = 6 \) units

We can substitute these values into the formula:

\[
A = 7 \cdot 6 = 42 \text{ square units}
\]

Therefore, the area of the rhombus is **42 square units**.

Would you like more details or have any questions? 

Here are 5 related questions:
1. How can you calculate the area of a rhombus using the lengths of its diagonals?
2. If the area is given, how can you find the height of a rhombus?
3. How do the properties of a rhombus differ from those of a general parallelogram?
4. What are the formulas for the perimeter of a rhombus?
5. How do you find the side length of a rhombus if only the diagonals are known?

**Tip:** For any quadrilateral, knowing multiple formulas to calculate the area can help in cases where you have different sets of known values (e.g., side lengths, height, diagonals).

If x = 7 units and h = 6 units, then what is the area of the rhombus pictured above?

Learn how to calculate the area of a rhombus with a side length of 7 units and a height of 6 units using the formula A = base × height. This geometry problem demonstrates how to apply fundamental concepts of quadrilaterals and is suitable for students in Grades 6-8.

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