Area of Quadrilateral Worksheets - Free Printable

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

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

Let's go through each trapezoid step by step.

---

1. Trapezoid 1

- Dimensions:
- Base 1 = 7 cm
- Base 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. Trapezoid 2

- Dimensions:
- Base 1 = 12 cm
- Base 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. Trapezoid 3

- Dimensions:
- Base 1 = 5 cm
- Base 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. Trapezoid 4

- Dimensions:
- Base 1 = 9 m
- Base 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. Trapezoid 5

- Dimensions:
- Base 1 = 14 cm
- Base 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. Trapezoid 6

- Dimensions:
- Base 1 = 6 cm
- Base 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: \( 34 \, \text{cm}^2 \)

---

Final Answers

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