Printable worksheet for calculating the area of compound shapes with examples and answers.

It looks like you've uploaded a worksheet titled "Area of Compound Shapes" that contains multiple problems involving calculating the area of compound (composite) shapes. These are shapes made up of two or more basic geometric shapes, such as rectangles or squares.

Since I can't view images directly, I’ll guide you through how to solve these types of problems and provide a general explanation based on what's typical in such worksheets.

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🔍 What is a Compound Shape?

A compound shape is made by combining two or more simple shapes (like rectangles, squares, triangles, etc.). To find the total area:

> ✔ Step 1: Break the compound shape into simpler shapes.
> ✔ Step 2: Calculate the area of each individual shape.
> ✔ Step 3: Add the areas together to get the total area.

For example:
- If a shape is made of two rectangles, calculate the area of each rectangle and add them.
- If it has a square and a triangle, use the appropriate formulas for each.

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🧮 Common Formulas Used

- Rectangle: Area = length × width
- Square: Area = side × side
- Triangle: Area = ½ × base × height

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📌 Example Problem (Typical from Such Sheets)

Let’s say one shape looks like this:

```
+---------+
| |
| A | ← Rectangle A: 6 cm × 4 cm
| |
+-----+---+
| |
| B | ← Rectangle B: 3 cm × 2 cm
| |
+---+
```

Step-by-step solution:

1. Identify the parts:
- Rectangle A: 6 cm × 4 cm
- Rectangle B: 3 cm × 2 cm

2. Calculate each area:
- Area A = 6 × 4 = 24 cm²
- Area B = 3 × 2 = 6 cm²

3. Total area:
- Total = 24 + 6 = 30 cm²

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💡 Tips for Solving Compound Shapes:

- Look for right angles — they suggest rectangles.
- Label all sides, even if not given — sometimes you need to subtract or add lengths.
- Use splitting techniques: draw lines to divide the shape into rectangles.
- Double-check units (cm², m², etc.).

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📘 Worksheet Structure (Based on Your Image)

From your image, the worksheet appears to have:
- Multiple compound shapes labeled with dimensions.
- Spaces to write:
- Area A
- Area B
- Total area
- An answer key on the last page.

Each problem likely requires breaking down the shape into rectangles, calculating their areas, then summing them.

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✔ How You Can Solve It Yourself:

1. For each compound shape:
- Draw dashed lines to split it into rectangles.
- Label missing side lengths using addition/subtraction.
- Compute area of each part.
- Add all parts.

2. Fill in:
- Area A = ___
- Area B = ___
- Total = ___

3. Check against the answer key provided (last page).

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❓Need Help with a Specific Problem?

If you can describe one of the shapes (e.g., “a large rectangle with a smaller rectangle cut out on the top left”), or type in the dimensions, I can walk you through solving it step-by-step!

Alternatively, if you can extract one question from the sheet and paste its description here, I’ll solve it fully.

Let me know! 😊