This worksheet guides students through breaking down complex L-shaped figures into simpler rectangles to calculate total area.

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. Split into parts:
- Rectangle A: 6 cm × 4 cm
- Rectangle B: 3 cm × 2 cm

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

3. Total area = 24 + 6 = 30 cm²

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💡 Tips for Solving Compound Shapes:

1. Label each part (e.g., A, B, C).
2. Look for missing dimensions — sometimes you need to subtract lengths to find unknown sides.
3. Double-check units — ensure all measurements are in the same unit.
4. Use grid paper or draw auxiliary lines if needed.

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📘 Worksheet Structure (Based on Your Image)

From your image, it appears the worksheet includes:
- Multiple compound shapes labeled with dimensions.
- Blank spaces for students to write:
- Area of part A
- Area of part B
- Total area
- An answer key sheet at the end.

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✔ How to Solve Each Question:

For each compound shape:
1. Identify how many simple shapes it's made of.
2. Write down the dimensions of each.
3. Use area formulas.
4. Add the areas.

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🛠️ Example Walkthrough (Hypothetical)

Suppose one problem shows:
- A large rectangle (10 cm × 5 cm), with a smaller rectangle cut out from the top-right corner (3 cm × 2 cm).

This is a subtraction case!

- Area of big rectangle = 10 × 5 = 50 cm²
- Area of small rectangle = 3 × 2 = 6 cm²
- Total area = 50 – 6 = 44 cm²

⚠️ Note: Some compound shapes involve adding, others subtracting (if there's a hole or cut-out).

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📝 Final Advice:

- Always draw lines to divide the shape clearly.
- Check your math — especially multiplication.
- Use the answer key (last page) to verify your work.

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If you can describe one specific problem from the worksheet (e.g., "a shape with a 7 cm base and 4 cm height, with a 2 cm by 3 cm rectangle attached"), I can walk you through solving it step by step.

Would you like me to help with a particular question from the worksheet? Just describe it!