1. **State the problem:** Find the area of a polygon composed of two rectangles attached horizontally.
2. **Identify the dimensions:**
- Left rectangle: width = 3 ft, height = 22 ft
- Right rectangle: width = 4 ft, height = 16 ft
- Horizontal segment between rectangles = 6 ft (not needed for area calculation since rectangles are attached side by side)
3. **Formula for area of a rectangle:**
$$\text{Area} = \text{width} \times \text{height}$$
4. **Calculate area of left rectangle:**
$$3 \times 22 = 66$$
5. **Calculate area of right rectangle:**
$$4 \times 16 = 64$$
6. **Calculate total area of polygon:**
$$66 + 64 = 130$$
7. **Answer:** The area of the polygon is **130** square feet.
Polygon Area 4E530D
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.