The image shows a trapezoid with the following dimensions:

• One base: 4.5 feet
• Another base: 4.3 feet
• Height: 12 feet

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 (bases),
• $h$ is the height.

Now, substituting the values:

$\text{Area} = \frac{1}{2} \times (4.5 + 4.3) \times 12$

$\text{Area} = \frac{1}{2} \times 8.8 \times 12 = 52.8 \text{ square feet}$

So, the area of the trapezoid is 52.8 ft².

Would you like a detailed explanation of the formula, or do you have any other questions?

Here are five questions you might consider next:

1. How does the height affect the area of a trapezoid?
2. What happens to the area if both bases are the same length?
3. How would you calculate the perimeter of this trapezoid?
4. How can this formula be adapted for other shapes, like parallelograms?
5. Can you find the area of the trapezoid if given its diagonals instead of height?

Tip: Always double-check the units to ensure consistency when calculating area or perimeter.