The image shows a trapezoid with the following dimensions:

• The height of the trapezoid is $5 \, \text{in}$.
• The top base is $1.6 \, \text{in}$.
• The bottom base is $5.8 \, \text{in}$.

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

$\text{Area} = \frac{1}{2} \times ( \text{Base}_1 + \text{Base}_2 ) \times \text{Height}$

Where:

• $\text{Base}_1 = 1.6 \, \text{in}$ (top base)
• $\text{Base}_2 = 5.8 \, \text{in}$ (bottom base)
• $\text{Height} = 5 \, \text{in}$

Let me calculate the area for you.The area of the trapezoid is $18.5 \, \text{in}^2$.

Do you have any questions or would you like further details?

Here are 5 related questions you might find useful:

1. How do we calculate the perimeter of this trapezoid?
2. What would the area be if the height were doubled?
3. How would the area change if the top base increased by 1 inch?
4. How does the height affect the area of a trapezoid?
5. Can the area formula for a trapezoid be applied to other shapes like rectangles?

Tip: The trapezoid's area depends on the average of the two bases and the height. Changing either base or the height has a direct impact on the total area.