1. **State the problem:** Find the area of the L-shaped polygon composed of two rectangles with given side lengths. 2. **Analyze the shape:** The shape consists of two rectangles: - Rectangle A (left vertical part) with width 5 m and height 5 m. - Rectangle B (bottom horizontal part) with total width 7 m and height 5 m, but the overlapping part with rectangle A is 5 m wide, so the extra width is $7 - 5 = 2$ m. 3. **Calculate the area of Rectangle A:** $$\text{Area}_A = 5 \times 5 = 25 \text{ m}^2$$ 4. **Calculate the area of Rectangle B's extra part:** Since Rectangle B extends 2 m horizontally beyond Rectangle A and is 5 m tall: $$\text{Area}_B = 2 \times 5 = 10 \text{ m}^2$$ 5. **Find total area:** The total area of the L-shape is the sum of the two non-overlapping parts: $$\text{Total area} = 25 + 10 = 35 \text{ m}^2$$ **Final answer:** $$\boxed{35 \text{ m}^2}$$