1. **State the problem:** We need to find the area of the polygon divided into three sections A, B, and C with given dimensions: total height 7 m, right segment height 2 m, vertical division height 4 m, and bottom width 5 m. 2. **Analyze the shape:** The polygon can be divided into simpler shapes to calculate the area. The right segment forms a right angle with height 2 m and width 5 m. 3. **Calculate the area of the right rectangle (segment C):** $$\text{Area}_C = \text{height} \times \text{width} = 2 \times 5 = 10 \text{ m}^2$$ 4. **Calculate the height of the remaining part (A and B):** $$7 - 2 = 5 \text{ m}$$ 5. **Calculate the area of the rectangle formed by A and B:** Height is 5 m, width is 5 m (same as bottom width), so $$\text{Area}_{A+B} = 5 \times 5 = 25 \text{ m}^2$$ 6. **Total area of the polygon:** $$\text{Area}_{total} = \text{Area}_{A+B} + \text{Area}_C = 25 + 10 = 35 \text{ m}^2$$ **Final answer:** The area of the polygon is $35$ square meters.