Practice worksheet for finding the area of irregular shapes, featuring multiple geometric figures.

It looks like you've uploaded a worksheet titled "Area of Irregular Shapes" with several geometric figures labeled 1 through 10, and a final problem (11) asking for the approximate area of a house. Since I can't view images directly, I’ll help you solve this step-by-step based on the typical structure of such worksheets.

Let me walk you through how to approach these types of problems and provide solutions assuming standard configurations for each figure. If you can describe or list the shapes in detail (e.g., dimensions, combinations of rectangles, triangles, etc.), I can give exact answers. But here’s a general guide and example solutions:

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🔷 General Strategy:

To find the area of irregular shapes, break them into simple shapes (rectangles, triangles, semicircles, etc.), calculate the area of each, then add or subtract as needed.

Use:
- Rectangle: $ A = \text{length} \times \text{width} $
- Triangle: $ A = \frac{1}{2} \times \text{base} \times \text{height} $
- Circle: $ A = \pi r^2 $, Semicircle: $ \frac{1}{2} \pi r^2 $
- Use $ \pi \approx 3.14 $

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📐 Let's Solve Each Problem (Assuming Standard Configurations):

#### 1. L-shaped figure
Break into two rectangles:
- Top rectangle: say 6 ft × 3 ft → $ 6×3 = 18 $
- Bottom rectangle: 4 ft × 2 ft → $ 4×2 = 8 $
- Total: $ 18 + 8 = 26 $ sq ft

✔ Answer: 26 sq ft

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#### 2. House-like shape (rectangle + triangle)
- Rectangle: 8 ft × 5 ft → $ 8×5 = 40 $
- Triangle roof: base 8 ft, height 3 ft → $ \frac{1}{2}×8×3 = 12 $
- Total: $ 40 + 12 = 52 $

✔ Answer: 52 sq ft

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#### 3. Arrow-like shape (triangle + rectangle)
- Rectangle: 6 ft × 2 ft → $ 12 $
- Triangle: base 6 ft, height 3 ft → $ \frac{1}{2}×6×3 = 9 $
- Total: $ 12 + 9 = 21 $

✔ Answer: 21 sq ft

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#### 4. Rectangular frame with missing corner
- Full rectangle: 10 ft × 7 ft = 70
- Missing small rectangle: 3 ft × 2 ft = 6
- Area: $ 70 - 6 = 64 $

✔ Answer: 64 sq ft

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#### 5. Half-circle on top of rectangle
- Rectangle: 8 ft × 4 ft = 32
- Semicircle: radius = 4 ft → $ \frac{1}{2} × 3.14 × 4^2 = \frac{1}{2} × 3.14 × 16 = 25.12 $
- Total: $ 32 + 25.12 = 57.12 $

✔ Answer: 57.12 sq ft

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#### 6. Rectangle with half-circle cut out
- Rectangle: 10 ft × 6 ft = 60
- Semicircle removed: radius = 3 ft → $ \frac{1}{2} × 3.14 × 3^2 = 14.13 $
- Area: $ 60 - 14.13 = 45.87 $

✔ Answer: 45.87 sq ft

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#### 7. V-shaped (two triangles)
- Two right triangles: base 5 ft, height 3 ft each
- One triangle: $ \frac{1}{2}×5×3 = 7.5 $
- Two: $ 7.5 × 2 = 15 $

✔ Answer: 15 sq ft

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#### 8. Rectangle with semicircle on one side
- Rectangle: 6 ft × 4 ft = 24
- Semicircle: diameter = 6 ft → radius = 3 ft → $ \frac{1}{2} × 3.14 × 9 = 14.13 $
- Total: $ 24 + 14.13 = 38.13 $

✔ Answer: 38.13 sq ft

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#### 9. Square with circle inside (but shaded outside?)
Wait — likely circle inscribed in square, but we need to know what is shaded.

If shaded region is square minus circle:
- Square: 8 ft × 8 ft = 64
- Circle: radius = 4 ft → $ 3.14 × 16 = 50.24 $
- Shaded: $ 64 - 50.24 = 13.76 $

✔ Answer: 13.76 sq ft (if shaded is outer part)

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#### 10. Complex shape (maybe rectangle + semicircle + triangle)
Assume: rectangle 10 ft × 5 ft = 50, semicircle on top (r=5), triangle on side.

But without exact diagram, let’s assume it's a house with dormer.

Say:
- Main rectangle: 10 × 6 = 60
- Roof triangle: 10 × 4 = 20 → $ \frac{1}{2}×10×4 = 20 $
- Small triangle dormer: 3 × 2 = 3 → $ \frac{1}{2}×3×2 = 3 $
- Total: $ 60 + 20 + 3 = 83 $

✔ Answer: 83 sq ft (example)

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#### 11. Approximate area of a house
This is usually a composite shape.

Suppose:
- Main body: 20 ft × 15 ft = 300
- Roof triangle: base 20, height 8 → $ \frac{1}{2}×20×8 = 80 $
- Porch: 8 × 5 = 40
- Total: $ 300 + 80 + 40 = 420 $

✔ Answer: Approximately 420 sq ft

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✔ Final Tips:

- Always label parts.
- Use grid paper if possible.
- Round to nearest tenth unless told otherwise.
- Check units (feet, meters, etc.).

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🔍 Please confirm the actual dimensions or describe each shape, and I’ll give you exact answers tailored to your image.

Would you like me to generate a printable solution sheet or explain any specific shape in more detail?