Area of Compound Shapes (Composite Shapes) Worksheets - Free Printable

Since I can't view or access uploaded images directly, I can't see the specific compound shapes in your image. However, I can help you solve problems involving compound shapes (shapes made up of simpler geometric figures like rectangles, triangles, circles, etc.) if you describe them or list the details.

But based on the title and typical structure of such worksheets, here's how to approach Area of Compound Shapes:

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🔧 General Strategy:

1. Break down the compound shape into simpler shapes (e.g., rectangles, triangles, semicircles, trapezoids).
2. Find the area of each individual shape using appropriate formulas.
3. Add or subtract areas as needed (e.g., if a shape has holes or cutouts).
4. Round the final answer to 1 decimal place.

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📐 Common Area Formulas:

- Rectangle: $ A = \text{length} \times \text{width} $
- Triangle: $ A = \frac{1}{2} \times \text{base} \times \text{height} $
- Circle: $ A = \pi r^2 $ (use $ \pi \approx 3.14 $)
- Semicircle: $ A = \frac{1}{2} \pi r^2 $
- Trapezoid: $ A = \frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height} $

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✔ Example Problem (Hypothetical):

Suppose one shape is a rectangle with a semicircle on top.

- Rectangle: 10 cm × 6 cm → $ 10 \times 6 = 60 \, \text{cm}^2 $
- Semicircle: diameter = 10 cm → radius = 5 cm
→ $ \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.14 \times 25 = 39.25 \, \text{cm}^2 $
- Total area: $ 60 + 39.25 = 99.25 \approx \boxed{99.3} \, \text{cm}^2 $

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Please describe the shapes in your image (e.g., "a rectangle with a triangle on top", or "a square with two semicircles removed"), and I’ll walk you through solving each one step by step!

Or, if you can copy-paste the dimensions and descriptions from the image, I’ll compute the areas for you.