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

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

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

From the diagram provided:
- The two bases are 7 ft (bottom) and 9 ft (top).
- The height \( h \) is given as 13 ft.

Plugging in these values:

\[
\text{Area} = \frac{1}{2} \times (7 + 9) \times 13
\]
\[
\text{Area} = \frac{1}{2} \times 16 \times 13
\]
\[
\text{Area} = \frac{1}{2} \times 208
\]
\[
\text{Area} = 104 \text{ square feet}
\]

The area of the trapezoid is **104 square feet** (ft²).

Would you like a deeper explanation of any step?

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Here are some related questions:
1. How do we determine the bases and height in other trapezoids?
2. What would happen if we didn’t have a perpendicular height in the trapezoid?
3. How can we find the area if the trapezoid is rotated differently?
4. Can this method apply to trapezoids with non-parallel sides of varying angles?
5. What if only one base and the area were given—how could we find the other base?

**Tip:** Always double-check the units and ensure you apply the formula correctly for accurate results!

Find the area of this trapezoid. Be sure to include the correct unit in your answer.

Learn how to find the area of a trapezoid using the formula 1/2 * (b1 + b2) * h. This problem uses base lengths of 7 ft and 9 ft, with a height of 13 ft, and is suitable for students in Grades 6-8.

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