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!