1. **State the problem:** Find the area of the composite figure with given side lengths: 8 ft, 4 ft, 6 ft, 10 ft, 2 ft, 8 ft, and 11 ft.
2. **Approach:** Break the figure into simpler shapes (rectangles) whose areas we can calculate and then sum.
3. **Identify shapes:**
- Rectangle A (top left): width = 8 ft, height = 6 ft
- Rectangle B (middle right extension): width = 10 ft, height = 4 ft
- Rectangle C (bottom right extension): width = 2 ft, height = 11 ft
4. **Calculate areas:**
- Area A = $8 \times 6 = 48$ sq ft
- Area B = $10 \times 4 = 40$ sq ft
- Area C = $2 \times 11 = 22$ sq ft
5. **Sum areas:**
$$\text{Total area} = 48 + 40 + 22 = 110 \text{ square feet}$$
6. **Final answer:** The area of the figure is **110 square feet**.
Composite Area 05F97C
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.