https://file.aiquickdraw.com/mathbot/file/17293009612905zq7xh4n.jpg

The figure you provided shows a trapezoid with the following measurements:

- Top base: 8 meters
- Bottom base: 13 meters
- Left slant height: 10 meters
- Right slant height: 15 meters
- Height (vertical distance): 4 meters

### To find the area of this trapezoid:
We use the formula for the area of a trapezoid:

\[
\text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height}
\]

Where:
- \(\text{Base}_1 = 8 \, \text{m}\)
- \(\text{Base}_2 = 13 \, \text{m}\)
- \(\text{Height} = 4 \, \text{m}\)

### Calculation:
\[
\text{Area} = \frac{1}{2} \times (8 + 13) \times 4 = \frac{1}{2} \times 21 \times 4 = 42 \, \text{m}^2
\]

The area of the trapezoid is **42 square meters**.

Would you like to explore further details or ask additional questions about this problem? Here are some related questions for further practice:

1. How do we calculate the perimeter of this trapezoid?
2. What are the properties of a trapezoid that differentiate it from other quadrilaterals?
3. How would the area change if the height were doubled?
4. How can you calculate the length of the diagonals in this trapezoid?
5. How does knowing the slant heights help in practical applications, like construction?

**Tip:** When calculating the area of a trapezoid, always verify the correct height, as it must be perpendicular to both bases.

Find the area of a trapezoid with a top base of 8 meters, a bottom base of 13 meters, and a height of 4 meters.

Learn how to calculate the area of a trapezoid with a top base of 8 meters, a bottom base of 13 meters, and a height of 4 meters. This geometry problem covers the area calculation formula for trapezoids, ideal for students in Grades 6-8.

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