1. **State the problem:** We need to find the perimeter of an irregular polygon shaped like a rotated letter "E" with given side lengths. 2. **Identify the given sides:** The polygon has horizontal segments of lengths 24 m (top), 15 m (middle inner), and 30 m (bottom). It also has two vertical segments on the left, each 27 m, and one vertical segment on the right adjacent to the middle horizontal segment. 3. **Understand perimeter:** The perimeter is the total length around the polygon, so we sum all the outer sides. 4. **Calculate missing vertical segment on the right:** The total height on the left is two vertical segments of 27 m each, so total height is $$27 + 27 = 54\text{ m}$$. 5. The right vertical segment is the difference between the total height and the vertical parts adjacent to the middle segment. Since the middle horizontal segment is inside, the right vertical segment equals the height of the middle horizontal segment's vertical gap. 6. **Calculate the right vertical segment:** The right vertical segment equals $$54 - 27 = 27\text{ m}$$. 7. **Sum all sides:** - Left vertical sides: $$27 + 27 = 54\text{ m}$$ - Right vertical side: $$27\text{ m}$$ - Horizontal sides: $$24 + 15 + 30 = 69\text{ m}$$ 8. **Total perimeter:** $$54 + 27 + 69 = 150\text{ m}$$ **Final answer:** The perimeter of the figure is **150 m**.