Math worksheet for calculating the area of trapezoids with given dimensions and a helpful formula.

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

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

Let's go through each trapezoid step by step.

---

1)

- Dimensions:
- Top base (\( \text{length}_1 \)) = 7 cm
- Bottom base (\( \text{length}_2 \)) = 9 cm
- Height = 5 cm

Using the formula:
\[
\text{Area} = \frac{1}{2} \times (7 + 9) \times 5
\]
\[
\text{Area} = \frac{1}{2} \times 16 \times 5
\]
\[
\text{Area} = 8 \times 5 = 40 \, \text{cm}^2
\]

Answer: \( 40 \, \text{cm}^2 \)

---

2)

- Dimensions:
- Top base (\( \text{length}_1 \)) = 12 cm
- Bottom base (\( \text{length}_2 \)) = 8 cm
- Height = 4 cm

Using the formula:
\[
\text{Area} = \frac{1}{2} \times (12 + 8) \times 4
\]
\[
\text{Area} = \frac{1}{2} \times 20 \times 4
\]
\[
\text{Area} = 10 \times 4 = 40 \, \text{cm}^2
\]

Answer: \( 40 \, \text{cm}^2 \)

---

3)

- Dimensions:
- Top base (\( \text{length}_1 \)) = 5 cm
- Bottom base (\( \text{length}_2 \)) = 6 cm
- Height = 2 cm

Using the formula:
\[
\text{Area} = \frac{1}{2} \times (5 + 6) \times 2
\]
\[
\text{Area} = \frac{1}{2} \times 11 \times 2
\]
\[
\text{Area} = 5.5 \times 2 = 11 \, \text{cm}^2
\]

Answer: \( 11 \, \text{cm}^2 \)

---

4)

- Dimensions:
- Top base (\( \text{length}_1 \)) = 9 m
- Bottom base (\( \text{length}_2 \)) = 7 m
- Height = 6 m

Using the formula:
\[
\text{Area} = \frac{1}{2} \times (9 + 7) \times 6
\]
\[
\text{Area} = \frac{1}{2} \times 16 \times 6
\]
\[
\text{Area} = 8 \times 6 = 48 \, \text{m}^2
\]

Answer: \( 48 \, \text{m}^2 \)

---

5)

- Dimensions:
- Top base (\( \text{length}_1 \)) = 14 cm
- Bottom base (\( \text{length}_2 \)) = 6 cm
- Height = 5 cm

Using the formula:
\[
\text{Area} = \frac{1}{2} \times (14 + 6) \times 5
\]
\[
\text{Area} = \frac{1}{2} \times 20 \times 5
\]
\[
\text{Area} = 10 \times 5 = 50 \, \text{cm}^2
\]

Answer: \( 50 \, \text{cm}^2 \)

---

6)

- Dimensions:
- Top base (\( \text{length}_1 \)) = 6 cm
- Bottom base (\( \text{length}_2 \)) = 11 cm
- Height = 4 cm

Using the formula:
\[
\text{Area} = \frac{1}{2} \times (6 + 11) \times 4
\]
\[
\text{Area} = \frac{1}{2} \times 17 \times 4
\]
\[
\text{Area} = 8.5 \times 4 = 34 \, \text{cm}^2
\]

Answer: \( 34 \, \text{cm}^2 \)

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Final Answers

\[
\boxed{40, 40, 11, 48, 50, 34}
\]