1. **State the problem:** We need to find the area of an irregular polygon with given side lengths. 2. **Approach:** We can divide the polygon into simpler shapes (rectangles and triangles), calculate their areas, and sum them. 3. **Divide the figure:** - The polygon can be split into two rectangles and one right triangle. 4. **Calculate areas:** - Rectangle 1 (top left): width = 7 km, height = 4 km $$\text{Area}_1 = 7 \times 4 = 28$$ km² - Rectangle 2 (middle right): width = 4 km, height = 3 km $$\text{Area}_2 = 4 \times 3 = 12$$ km² - Triangle (bottom right): base = 6 km, height = 2 km $$\text{Area}_3 = \frac{1}{2} \times 6 \times 2 = 6$$ km² 5. **Sum all areas:** $$\text{Total Area} = 28 + 12 + 6 = 46$$ km² 6. **Answer:** The area of the figure is **46 km²**.