1. **State the problem:** Verify the area calculation of the irregular polygon. 2. **Recall previous result:** The total area was calculated as $46$ km$^2$ by summing areas of two rectangles and one triangle. 3. **Recalculate each area:** - Rectangle 1: $7 \times 4 = 28$ km$^2$ - Rectangle 2: $4 \times 3 = 12$ km$^2$ - Triangle: $\frac{1}{2} \times 6 \times 2 = 6$ km$^2$ 4. **Sum areas again:** $$28 + 12 + 6 = 46$$ 5. **Conclusion:** The previous calculation is correct. The area of the figure is **46 km$^2$**.