Find the area of each trapezoid, rounding answers to two decimal places.

To solve the problem of finding the area of a trapezoid, we will use the formula for the area of a trapezoid:

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

Step-by-Step Solution:

#### Trapezoid 1:
- Base 1 (Top base): 6 cm
- Base 2 (Bottom base): 10 cm
- Height: 4 cm

Using the formula:
\[
\text{Area} = \frac{1}{2} \times (6 + 10) \times 4
\]
\[
\text{Area} = \frac{1}{2} \times 16 \times 4
\]
\[
\text{Area} = 8 \times 4 = 32 \text{ cm}^2
\]

#### Trapezoid 2:
- Base 1 (Top base): 5 cm
- Base 2 (Bottom base): 9 cm
- Height: 3 cm

Using the formula:
\[
\text{Area} = \frac{1}{2} \times (5 + 9) \times 3
\]
\[
\text{Area} = \frac{1}{2} \times 14 \times 3
\]
\[
\text{Area} = 7 \times 3 = 21 \text{ cm}^2
\]

#### Trapezoid 3:
- Base 1 (Top base): 7 cm
- Base 2 (Bottom base): 11 cm
- Height: 5 cm

Using the formula:
\[
\text{Area} = \frac{1}{2} \times (7 + 11) \times 5
\]
\[
\text{Area} = \frac{1}{2} \times 18 \times 5
\]
\[
\text{Area} = 9 \times 5 = 45 \text{ cm}^2
\]

#### Trapezoid 4:
- Base 1 (Top base): 4 cm
- Base 2 (Bottom base): 8 cm
- Height: 6 cm

Using the formula:
\[
\text{Area} = \frac{1}{2} \times (4 + 8) \times 6
\]
\[
\text{Area} = \frac{1}{2} \times 12 \times 6
\]
\[
\text{Area} = 6 \times 6 = 36 \text{ cm}^2
\]

Final Answers:

\[
\boxed{32, 21, 45, 36}
\]

Explanation:

1. Identify the bases and height: For each trapezoid, identify the lengths of the top base (\(\text{Base}_1\)), the bottom base (\(\text{Base}_2\)), and the height.
2. Apply the formula: Use the formula \(\text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height}\).
3. Calculate step-by-step: Add the bases, multiply by the height, and then divide by 2.
4. Write the final answer: Ensure all calculations are correct and box the final answers.

This method ensures accuracy and clarity in solving the problem.