1. **State the problem:** We need to find the area of the compound figure described. 2. **Analyze the shape:** The shape is a large rectangle with a smaller rectangular notch removed from it. - The total vertical height on the left is 11 m. - The vertical height on the right side is 6 m. - The longer horizontal length on the top right is 9 m. - The bottom horizontal length of the inward notch is 4 m. 3. **Determine dimensions of the large rectangle:** - The total height of the large rectangle is the full height on the left, which is 11 m. - The full width at the top is 9 m. 4. **Determine dimensions of the smaller notch:** - Height of the notch is the difference between the left and right heights: $$11 - 6 = 5\text{ m}$$ - Width of the notch is the bottom horizontal length of the notch, 4 m. 5. **Calculate areas:** - Area of large rectangle: $$9 \times 11 = 99\text{ m}^2$$ - Area of notch removed: $$4 \times 5 = 20\text{ m}^2$$ 6. **Calculate compound shape area:** - Subtract notch area from the large rectangle area: $$99 - 20 = 79\text{ m}^2$$ 7. **Final answer:** The area of the figure is $$79\text{ m}^2$$.