https://file.aiquickdraw.com/mathbot/file/1723413194071dy3zacsb.jpg

Let's go through the figures one by one and calculate their areas:

1. **Figure 9A: Triangle (Base = 7 ft, Height = 3.5 ft)**
   - **Area** = \( \frac{1}{2} \times \text{Base} \times \text{Height} = \frac{1}{2} \times 7 \, \text{ft} \times 3.5 \, \text{ft} = 12.25 \, \text{square feet} \)

2. **Figure 9B: Triangle (Base = 4 cm, Height = 3 cm)**
   - **Area** = \( \frac{1}{2} \times \text{Base} \times \text{Height} = \frac{1}{2} \times 4 \, \text{cm} \times 3 \, \text{cm} = 6 \, \text{square centimeters} \)

3. **Figure 9C: Triangle (Base = 8 in, Height = 5.5 in)**
   - **Area** = \( \frac{1}{2} \times \text{Base} \times \text{Height} = \frac{1}{2} \times 8 \, \text{in} \times 5.5 \, \text{in} = 22 \, \text{square inches} \)

4. **Figure 9D: Parallelogram (Base = 6.5 m, Height = 4 m)**
   - **Area** = \( \text{Base} \times \text{Height} = 6.5 \, \text{m} \times 4 \, \text{m} = 26 \, \text{square meters} \)

5. **Figure 9E: Parallelogram (Base = 7 in, Height = 3.5 in)**
   - **Area** = \( \text{Base} \times \text{Height} = 7 \, \text{in} \times 3.5 \, \text{in} = 24.5 \, \text{square inches} \)

6. **Figure 9F: Parallelogram (Base = 5.5 cm, Height = 3.8 cm)**
   - **Area** = \( \text{Base} \times \text{Height} = 5.5 \, \text{cm} \times 3.8 \, \text{cm} = 20.9 \, \text{square centimeters} \)

Let me know if you need any further details or explanations.

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Here are 8 related questions to expand your understanding:

1. What is the area formula for a trapezoid?
2. How does the area of a parallelogram compare to that of a rectangle with the same base and height?
3. How would you find the area of a right triangle differently from a general triangle?
4. What happens to the area of a parallelogram if the base is doubled but the height remains the same?
5. Can a triangle and a parallelogram have the same area? Under what conditions?
6. How does the orientation of a parallelogram affect its area?
7. How would you calculate the area of a complex shape that includes multiple triangles and parallelograms?
8. What is the difference between the area calculation of a parallelogram and a rhombus?

**Tip:** When working with figures like triangles and parallelograms, ensure you identify the correct base and height before calculating the area.

Learn how to calculate the areas of triangles and parallelograms with detailed examples. Includes formulas for triangle and parallelogram area calculations. Suitable for Grades 7-9.

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