Practice sheet for calculating the area of compound shapes with labeled diagrams.

It looks like you've uploaded an image of a worksheet titled "Area of Compound Shapes", which contains several compound shapes made up of rectangles and triangles. The task is to find the area of each figure, using the formula:

> Area = base × height for rectangles
> Area = ½ × base × height for triangles

Since I can't view images directly, I’ll guide you through how to solve these types of problems step-by-step. If you describe the shapes or provide the dimensions, I can help calculate the exact areas.

But here’s a general method to solve such problems:

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🔷 Step-by-Step Guide to Find the Area of Compound Shapes

1. Break the shape into simpler parts:
- Look for rectangles and right triangles.
- Draw dotted lines if needed to split the shape.

2. Label all known dimensions:
- Identify lengths, widths, bases, and heights.

3. Calculate the area of each part:
- Use appropriate formulas:
- Rectangle: $ A = \text{length} \times \text{width} $
- Triangle: $ A = \frac{1}{2} \times \text{base} \times \text{height} $

4. Add the areas together:
- Sum the areas of all individual parts to get the total area.

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✔ Example Problem (Illustrative):

Suppose one of the shapes looks like this:

```
_______
| |
| | 6 cm
|_______|
8 cm
/ \
/ \
/_____\ 4 cm
```

This is a rectangle on top and a triangle below.

- Rectangle area: $ 8 \times 6 = 48 \, \text{cm}^2 $
- Triangle area: $ \frac{1}{2} \times 8 \times 4 = 16 \, \text{cm}^2 $
- Total area: $ 48 + 16 = 64 \, \text{cm}^2 $

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📌 Tips:

- Make sure units are consistent.
- Always double-check that your decomposition covers the entire shape without overlap.
- For trapezoids (which may appear), use:
$ A = \frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height} $

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If you can describe the shapes or list the dimensions from the worksheet (e.g., "Shape 1: rectangle 5 cm by 3 cm with a triangle on top of base 5 cm and height 2 cm"), I can calculate the exact answers for each.

Let me know!