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*Calculate the area of the rhombus shown below if KN*=14.4 and 𝐽𝐿=30.2?

To calculate the area of the rhombus, we can use the formula that involves the lengths of its diagonals:

\[
\text{Area} = \frac{1}{2} \times d_1 \times d_2
\]

In this problem:
- \(KN = 14.4\) units, which represents half of diagonal \(KM\).
- \(JL = 30.2\) units, which represents the full diagonal \(JL\).

### Steps:
1. First, find the full length of diagonal \(KM\). Since \(KN\) is half of \(KM\):
\[
KM = 2 \times KN = 2 \times 14.4 = 28.8 \text{ units}
\]

2. Now, use the formula for the area of the rhombus:
\[
\text{Area} = \frac{1}{2} \times KM \times JL = \frac{1}{2} \times 28.8 \times 30.2
\]

3. Calculate the area:
\[
\text{Area} = \frac{1}{2} \times 868.56 = 434.28 \text{ square units}
\]

Given the options provided, none of the listed options match exactly, but the closest option is:
**434.58 square units**.

Would you like a more detailed breakdown of the calculations or have any other questions?

Here are some related questions you might consider:
1. What is the relationship between the diagonals of a rhombus?
2. How do the diagonals of a rhombus intersect each other?
3. What other methods can be used to calculate the area of a rhombus?
4. How does the area of a rhombus compare to that of a square?
5. Can the area of a rhombus be calculated using trigonometric functions?
6. How does changing the angle between the diagonals affect the area?
7. What are the properties of the diagonals in a rectangle?
8. How can you derive the formula for the area of a rhombus?

**Tip:** In geometry, it's crucial to visualize the relationship between different elements of a shape, such as diagonals and sides, to effectively solve problems.

Learn how to calculate the area of a rhombus with diagonals KN = 14.4 units and JL = 30.2 units. This problem involves using the formula for the area of a rhombus based on its diagonals. Suitable for students in Grades 7-9.

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