https://file.aiquickdraw.com/mathbot/file/172591577978975c6827m.jpg

To find the area of the trapezoid, we can use the formula for the area of a trapezoid:

\[
\text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h
\]

Where:
- \( b_1 \) and \( b_2 \) are the lengths of the two parallel sides (the bases),
- \( h \) is the height (the perpendicular distance between the bases).

From the diagram:
- \( b_1 = 18 \, \text{cm} \) (the top base),
- \( b_2 = 6 \, \text{cm} \) (the bottom base),
- \( h = 9 \, \text{cm} \) (the height).

Now, plugging these values into the formula:

\[
\text{Area} = \frac{1}{2} \times (18 + 6) \times 9 = \frac{1}{2} \times 24 \times 9 = 12 \times 9 = 108 \, \text{cm}^2
\]

Thus, the area of the trapezoid is \( 108 \, \text{cm}^2 \).

Would you like more details, or do you have any questions?

Here are 5 related questions for further exploration:
1. What is the perimeter of this trapezoid?
2. How would the area change if the height was increased by 2 cm?
3. Can you find the length of the non-parallel sides using the Pythagorean Theorem?
4. How do you calculate the volume of a 3D trapezoidal prism with this base?
5. What happens to the area if both bases are doubled?

**Tip:** When calculating the area of a trapezoid, always ensure that the height is perpendicular to the bases to get accurate results.

Find the area of the trapezoid with parallel sides 18 cm and 6 cm, and a height of 9 cm.

Learn how to calculate the area of a trapezoid with bases of 18 cm and 6 cm, and a height of 9 cm. A step-by-step guide to applying the trapezoid area formula for students in Grades 6-8.

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