https://file.aiquickdraw.com/mathbot/file/1727185633167svpby58b.jpg

From the image, I can see two questions about trapezoids.

1. **First question**:
   The problem asks for the formula used to find the area of a trapezoid. There are multiple choices provided. The correct formula for the area of a trapezoid is:

   \[
   A = \frac{(b_1 + b_2) \times h}{2}
   \]
   where:
   - \(b_1\) and \(b_2\) are the lengths of the parallel sides (bases).
   - \(h\) is the height (perpendicular distance between the bases).

   The answer would be **A: \(\frac{(b_1 + b_2) \times h}{2}\)**.

2. **Second question**:
   This question provides the dimensions of a trapezoid and asks for the area.
   - Base 1 (\(b_1\)) = 5 m
   - Base 2 (\(b_2\)) = 8 m
   - Height (\(h\)) = 4 m

   Using the area formula for a trapezoid:

   \[
   A = \frac{(b_1 + b_2) \times h}{2} = \frac{(5 + 8) \times 4}{2} = \frac{13 \times 4}{2} = \frac{52}{2} = 26 \, \text{m}^2
   \]

   The correct answer is **26 m²** (Option D).

Would you like more details on the process or have any other questions?

Here are 5 related questions:
1. How do you calculate the perimeter of a trapezoid?
2. How would the formula change if the trapezoid were isosceles?
3. What is the relationship between trapezoids and parallelograms?
4. Can you find the area of a trapezoid if only the diagonals are given?
5. How can the trapezoid area formula be derived from the triangle area formula?

**Tip**: Always double-check whether the given values are in the same units before applying any formula!

What is the formula used to find the area of a trapezoid? The problem also includes a trapezoid with dimensions and asks to calculate the area.

This problem explains how to find the area of a trapezoid using the formula A = ((b1 + b2) * h) / 2. Includes an example where b1 = 5m, b2 = 8m, and height = 4m, resulting in an area of 26 m². Suitable for students in Grades 6-8.

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