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This worksheet features six problems where students must calculate the total area of compound geometric figures by breaking them down into simpler shapes.

Math worksheet showing area of compound figures problems with geometric shapes and dimensions.

Math worksheet showing area of compound figures problems with geometric shapes and dimensions.

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Show Answer Key & Explanations Step-by-step solution for: Area of Composite Shapes (Compound Figures) Worksheets
Since I can't view or access images directly, I can't see the specific shapes in your uploaded image. However, I can help you solve Area of Compound Figures problems if you describe the shapes or provide details about them.

Typically, compound figures are made up of simpler geometric shapes like rectangles, triangles, trapezoids, or circles. To find the area:

General Steps:


1. Break the compound figure into simpler shapes (e.g., rectangles, triangles).
2. Find the area of each individual shape using 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 $
3. Add or subtract areas depending on how the shapes are combined.
4. Round your answer to the nearest tenth, as instructed.

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Please describe the shapes in the image (e.g., "Figure a is a rectangle with a triangle on top", or list dimensions), and I’ll walk you through solving each one step by step!
Parent Tip: Review the logic above to help your child master the concept of area of complex shapes worksheet.
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