Worksheet for calculating the area of compound figures using geometric shapes.

Since I can't view or access images directly, I can't see the specific shapes in your uploaded image. However, based on the text you provided — "Area of Compound Figures" and instructions to find the area of shaded regions by breaking them into simpler shapes — I can help you solve such problems if you describe the figures.

But here’s a general guide on how to solve area of compound figures problems like this:

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🔷 Step-by-Step Method for Finding Area of Compound Figures

1. Break the shape into simpler shapes:
- Look for rectangles, triangles, trapezoids, circles (or parts of them), etc.
- For example, an L-shaped figure can be split into two rectangles.

2. Label known dimensions:
- Use the given measurements (like lengths, widths, radii) to calculate areas.

3. Use area formulas:
- Rectangle: $ A = \text{length} \times \text{width} $
- Triangle: $ A = \frac{1}{2} \times \text{base} \times \text{height} $
- Trapezoid: $ A = \frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height} $
- Circle: $ A = \pi r^2 $ (use $ \pi \approx 3.14 $ or $ \frac{22}{7} $)
- Semi-circle: $ A = \frac{1}{2} \pi r^2 $

4. Add or subtract areas:
- If the compound shape is made of parts added together, add the areas.
- If it's a large shape with a part removed (e.g., a rectangle with a triangle cut out), subtract the smaller area from the larger one.

5. Round to nearest tenth as instructed.

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📌 Example (Hypothetical)

Suppose Figure A is an L-shaped region made of two rectangles:
- Rectangle 1: 8 cm × 4 cm → Area = $ 8 \times 4 = 32 $ cm²
- Rectangle 2: 6 cm × 3 cm → Area = $ 6 \times 3 = 18 $ cm²
- Total area = $ 32 + 18 = 50 $ cm² → Rounded to nearest tenth: 50.0 cm²

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✔ What You Can Do Now:

Please describe each of the four figures (A, B, C, D) in words. For example:

> "Figure A is an L-shaped figure made of two rectangles. The top rectangle is 6 units wide and 3 units tall. The bottom rectangle is 4 units wide and 5 units tall, attached below the first."

Or:

> "Figure B is a rectangle with a triangle on top. The rectangle is 10 units long and 4 units high. The triangle has a base of 10 units and height of 3 units."

Once you describe them, I’ll walk you through solving each one step by step!