Practice worksheet for calculating the area of parallelograms using base and height.

To solve the problem, we need to calculate the area of each shaded figure. The figures are geometric shapes, and their areas can be calculated using standard formulas for rectangles, parallelograms, triangles, and trapezoids. Let's go through each figure step by step.

---

Figure 1: Rectangle

- Description: The figure is a rectangle.
- Dimensions: Length = 6 units, Width = 4 units.
- Formula for Area of a Rectangle:
\[
\text{Area} = \text{Length} \times \text{Width}
\]
- Calculation:
\[
\text{Area} = 6 \times 4 = 24 \text{ square units}
\]

---

Figure 2: Parallelogram

- Description: The figure is a parallelogram.
- Dimensions: Base = 8 units, Height = 3 units.
- Formula for Area of a Parallelogram:
\[
\text{Area} = \text{Base} \times \text{Height}
\]
- Calculation:
\[
\text{Area} = 8 \times 3 = 24 \text{ square units}
\]

---

Figure 3: Trapezoid

- Description: The figure is a trapezoid.
- Dimensions: Top base = 5 units, Bottom base = 7 units, Height = 4 units.
- Formula for Area of a Trapezoid:
\[
\text{Area} = \frac{1}{2} \times (\text{Top base} + \text{Bottom base}) \times \text{Height}
\]
- Calculation:
\[
\text{Area} = \frac{1}{2} \times (5 + 7) \times 4 = \frac{1}{2} \times 12 \times 4 = 24 \text{ square units}
\]

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Figure 4: Triangle

- Description: The figure is a triangle.
- Dimensions: Base = 8 units, Height = 3 units.
- Formula for Area of a Triangle:
\[
\text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height}
\]
- Calculation:
\[
\text{Area} = \frac{1}{2} \times 8 \times 3 = \frac{1}{2} \times 24 = 12 \text{ square units}
\]

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Figure 5: Composite Shape (Rectangle with a Triangle Cut Out)

- Description: The figure is a rectangle with a triangular section removed.
- Dimensions:
- Rectangle: Length = 6 units, Width = 4 units.
- Triangle: Base = 3 units, Height = 4 units.
- Step 1: Calculate the area of the rectangle.
\[
\text{Area of Rectangle} = 6 \times 4 = 24 \text{ square units}
\]
- Step 2: Calculate the area of the triangle.
\[
\text{Area of Triangle} = \frac{1}{2} \times 3 \times 4 = \frac{1}{2} \times 12 = 6 \text{ square units}
\]
- Step 3: Subtract the area of the triangle from the area of the rectangle.
\[
\text{Area of Shaded Region} = 24 - 6 = 18 \text{ square units}
\]

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Figure 6: Trapezoid

- Description: The figure is a trapezoid.
- Dimensions: Top base = 4 units, Bottom base = 6 units, Height = 3 units.
- Formula for Area of a Trapezoid:
\[
\text{Area} = \frac{1}{2} \times (\text{Top base} + \text{Bottom base}) \times \text{Height}
\]
- Calculation:
\[
\text{Area} = \frac{1}{2} \times (4 + 6) \times 3 = \frac{1}{2} \times 10 \times 3 = 15 \text{ square units}
\]

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Final Answers

\[
\boxed{24, 24, 24, 12, 18, 15}
\]