1. **Problem Statement:** Find the area of the L-shaped polygon composed of two rectangles. The top rectangle has dimensions 5 m by 5 m. 2. The bottom rectangle has dimensions 7 m by 5 m. 3. **Step 1:** Calculate the area of the top rectangle. $$\text{Area}_{top} = 5 \times 5 = 25\ \text{m}^2$$ 4. **Step 2:** Calculate the area of the bottom rectangle. $$\text{Area}_{bottom} = 7 \times 5 = 35\ \text{m}^2$$ 5. **Step 3:** The L-shaped polygon is formed by placing the top rectangle above the left part of the bottom rectangle with an overlapping area corresponding to the 5 m by 5 m vertical section, so we have counted the overlapping part twice. 6. Since these rectangles do not overlap, the total area is the sum of both rectangles. 7. **Step 4:** Find the total area. $$\text{Total Area} = 25 + 35 = 60\ \text{m}^2$$ 8. **Final Answer:** The area of the L-shaped polygon is $60\ \text{m}^2$.