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To calculate the area of the trapezoid, we can use the trapezoid area formula:

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

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 image:
- One base \( b_1 = 16 \text{ in} \).
- The other base \( b_2 = 19.4 \text{ in} \).
- The height \( h = 30 \text{ in} \).

Now, we can calculate the area.

\[
A = \frac{1}{2} \times (16 + 19.4) \times 30
\]

Let me compute that.The area of the trapezoid is \( 531 \, \text{in}^2 \).

Would you like more details or have any questions about this? 

Here are some related questions to consider:
1. What would happen if the height of the trapezoid changed?
2. How does the area formula change if the trapezoid has different base lengths?
3. Can you calculate the perimeter of this trapezoid based on the given dimensions?
4. How would you find the height if the area and bases were known instead?
5. What if the trapezoid was rotated—would that affect its area?

**Tip:** In trapezoids, only the two parallel sides are considered as "bases" when calculating the area, and the height is always the perpendicular distance between them.

The area of the trapezoid is calculated given the dimensions: 16 inches, 19.4 inches, and height of 30 inches.

Learn how to find the area of a trapezoid with base lengths of 16 inches, 19.4 inches, and a height of 30 inches. This solution explains the trapezoid area formula in geometry, including detailed calculations.

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