1. **State the problem:** Find the total area of the composite step-shaped polygon with given side lengths.
2. **Analyze the figure:** The polygon can be divided into simpler rectangles to calculate the total area.
3. **Identify rectangles:**
- Rectangle A (top left): width = 12 m, height = 7 m
- Rectangle B (inner upper horizontal): width = 9 m, height = (16 m - 7 m) = 9 m
- Rectangle C (lower right): width = 10 m, height = 8 m
4. **Calculate areas:**
- Area A = $12 \times 7 = 84$ m²
- Area B = $9 \times 9 = 81$ m²
- Area C = $10 \times 8 = 80$ m²
5. **Sum the areas:**
$$\text{Total Area} = 84 + 81 + 80 = 245 \text{ m}^2$$
6. **Final answer:** The total area of the figure is **245 m²**.
Composite Area A99D8C
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.