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The problem in the image asks to determine the area of two irregular shapes. These shapes are made up of a combination of rectangles, triangles, and trapezoids. Let me guide you through the process of calculating the area for each of these shapes.

### Shape 1 (Left)

1. **Step 1: Divide the shape into simpler shapes**:
   - The shape can be split into two rectangles and one triangle.
     - A large rectangle at the bottom (8 cm by 5 cm).
     - A smaller rectangle on the top left (2 cm by 2 cm).
     - A right triangle on the top right with a base of 6 cm and a height of 2 cm.

2. **Step 2: Calculate the area of each part**:
   - Area of the large rectangle: \( A_1 = 8 \, \text{cm} \times 5 \, \text{cm} = 40 \, \text{cm}^2 \).
   - Area of the small rectangle: \( A_2 = 2 \, \text{cm} \times 2 \, \text{cm} = 4 \, \text{cm}^2 \).
   - Area of the triangle: \( A_3 = \frac{1}{2} \times 6 \, \text{cm} \times 2 \, \text{cm} = 6 \, \text{cm}^2 \).

3. **Step 3: Add the areas**:
   \[
   \text{Total Area of Shape 1} = A_1 + A_2 + A_3 = 40 + 4 + 6 = 50 \, \text{cm}^2
   \]

### Shape 2 (Right)

1. **Step 1: Divide the shape into simpler shapes**:
   - The shape can be split into two trapezoids.
     - A top trapezoid with parallel sides of 4 cm and 2 cm and a height of 2 cm.
     - A bottom trapezoid with parallel sides of 8 cm and 4 cm and a height of 5 cm.

2. **Step 2: Calculate the area of each trapezoid**:
   - Area of the top trapezoid: \( A_4 = \frac{1}{2} \times (4 \, \text{cm} + 2 \, \text{cm}) \times 2 \, \text{cm} = 6 \, \text{cm}^2 \).
   - Area of the bottom trapezoid: \( A_5 = \frac{1}{2} \times (8 \, \text{cm} + 4 \, \text{cm}) \times 5 \, \text{cm} = 30 \, \text{cm}^2 \).

3. **Step 3: Add the areas**:
   \[
   \text{Total Area of Shape 2} = A_4 + A_5 = 6 + 30 = 36 \, \text{cm}^2
   \]

### Final Answer:
- **Area of Shape 1:** \( 50 \, \text{cm}^2 \)
- **Area of Shape 2:** \( 36 \, \text{cm}^2 \)

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Determine the area of each irregular shape shown in the image.

Learn how to determine the area of two irregular shapes by decomposing them into simple geometric figures such as rectangles, triangles, and trapezoids. This problem involves geometry and the use of area formulas, suitable for students in Grades 6-8.

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