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To calculate the area of the kite, we can use the formula for the area of a kite:

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

Where:
- \( d_1 \) and \( d_2 \) are the lengths of the diagonals of the kite.

In this case, the diagonals are given as:
- \( d_1 = 11 \, \text{cm} \)
- \( d_2 = 9 \, \text{cm} \)

Now, applying the formula:

\[
\text{Area} = \frac{1}{2} \times 11 \times 9 = \frac{1}{2} \times 99 = 49.5 \, \text{cm}^2
\]

Thus, the area of the kite is **49.5 cm²**.

Would you like any further details or clarifications?

Here are some related questions:
1. What if the diagonals of the kite were doubled? How would the area change?
2. How is the formula for the area of a kite derived?
3. How does the area formula for a kite differ from that of a rhombus or parallelogram?
4. What is the relationship between the angles in a kite and its diagonals?
5. How do you calculate the perimeter of a kite if the side lengths are known?

**Tip:** Remember, the diagonals of a kite are always perpendicular to each other, which simplifies the area calculation!

Find the area of the kite with diagonals 11 cm and 9 cm.

Learn how to find the area of a kite with diagonals measuring 11 cm and 9 cm. This geometry problem demonstrates the use of the area formula for a kite: (1/2) × d1 × d2. Suitable for students in Grades 6-8.

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