Area of Compound Shapes Worksheet - Calculate the area of each figure and round to two decimal places.

Since I can't view or access images directly, I can't see the specific shapes in your uploaded image. However, based on the description you provided — "Area: Compound Shapes" with instructions to find the area of each shape and round answers to one decimal place — I can help you solve compound shape area problems if you describe the shapes or provide their dimensions.

But let’s go through a general approach for solving such problems, and then I’ll walk you through an example that matches what might be in your worksheet.

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🔷 How to Find the Area of Compound Shapes

Compound shapes are made up of two or more basic geometric shapes (like rectangles, triangles, circles, trapezoids, etc.). To find the total area:

1. Break the shape into simpler parts (e.g., rectangles, triangles, semicircles).
2. Find the area of each individual part using standard formulas.
3. Add or subtract areas as needed (e.g., if a shape has a hole, subtract the smaller area).
4. Round the final answer to one decimal place, as instructed.

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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 $
- 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 (Typical from Such a Worksheet)

Let’s assume Problem 1 looks like this:
> A shape made of a rectangle (6 cm × 4 cm) with a right triangle on top (base = 6 cm, height = 3 cm).

#### Step-by-step:
1. Area of rectangle:
$ 6 \times 4 = 24 \text{ cm}^2 $

2. Area of triangle:
$ \frac{1}{2} \times 6 \times 3 = 9 \text{ cm}^2 $

3. Total area:
$ 24 + 9 = 33.0 \text{ cm}^2 $

✔ Final Answer: 33.0 cm²

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Now, if you can describe the shapes in your image (e.g., “Shape A is a rectangle with a triangle on top”, or “Shape B has a semicircle attached to a rectangle”), I can give you the exact solution for each.

Alternatively, if you type out the dimensions and descriptions of each shape, I’ll compute them all step by step.

Please reply with details about the shapes, and I’ll solve them for you!