https://file.aiquickdraw.com/mathbot/file/1726895983955aehdohpw.jpg

To find the area of the trapezoidal figure shown in the image, we can use the formula for the area of a trapezoid:

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

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

From the image:
- \( b_1 = 11 \, \text{m} \) (top base),
- \( b_2 = 21 \, \text{m} \) (bottom base),
- \( h = 7 \, \text{m} \) (height).

Let's calculate the area using this information:

\[
\text{Area} = \frac{1}{2} \times (11 + 21) \times 7 = \frac{1}{2} \times 32 \times 7 = 16 \times 7 = 112 \, \text{m}^2
\]

Thus, the area of the trapezoid is \( 112 \, \text{m}^2 \).

Would you like further clarification on any part of the process or more details? 

Here are some related questions to deepen your understanding:
1. How do you derive the formula for the area of a trapezoid?
2. What other geometric shapes can you calculate the area of using similar formulas?
3. How would the formula change if the trapezoid was rotated?
4. Can you break a trapezoid into simpler shapes (like triangles) to calculate its area differently?
5. How do changes in height or the bases affect the area of a trapezoid?

**Tip:** When dealing with trapezoids, ensure that the height is always perpendicular to the parallel sides for accurate area calculation.

Use the formulas developed in this section to find the area of the trapezoidal figure with parallel sides of 11 m and 21 m, and a height of 7 m.

Learn how to find the area of a trapezoidal shape with a top base of 11 meters, a bottom base of 21 meters, and a height of 7 meters. Using the area of a trapezoid formula, we will calculate the exact area for this geometric figure. Ideal for students in Grades 7-9.

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