https://file.aiquickdraw.com/mathbot/file/1728056833509oc2xb09q.jpg

The question appears to ask for the **area of parallelogram ABCD**. Based on the image, here is what we can extract:

- **AB = 12 cm** (base)
- **DC = 10 cm** (top side, also base since opposite sides of a parallelogram are equal)
- **AD = 13 cm** (slant side)
- **Height (h) = 10 cm** (from point C to base AB)

### To calculate the area of a parallelogram:

\[
\text{Area} = \text{base} \times \text{height}
\]

We use the base **AB = 12 cm** and the height **h = 10 cm**:

\[
\text{Area} = 12 \, \text{cm} \times 10 \, \text{cm} = 120 \, \text{cm}^2
\]

Thus, the area of the parallelogram is **120 cm²**.

Would you like more details or have any questions? Here are some related questions:

1. What if the base were different, say 10 cm?
2. How do you find the area if only the sides and diagonals are given?
3. How is the area formula for a parallelogram derived?
4. Can the height ever be longer than a side in a parallelogram?
5. How does the shape of the parallelogram affect its area?

**Tip:** Always ensure you use the correct height perpendicular to the chosen base when calculating the area of a parallelogram!

Find the area of the parallelogram ABCD given that AB = 12 cm, DC = 10 cm, AD = 13 cm, and the height from point C to base AB is 10 cm.

Learn how to find the area of parallelogram ABCD with base 12 cm and height 10 cm. The problem uses the formula for the area of a parallelogram, providing a detailed solution for students in Grades 7-9.

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