1. **State the problem:** Kayden has 50 m of railing but needs enough railing to go all the way around the roof garden, which is an irregular polygon with given side lengths. 2. **Identify the sides of the polygon:** The sides given are: - Top horizontal side = 10 m - Small vertical segment on the top left = 3 m - Left vertical side = 12 m - Bottom left horizontal side = 7 m - Bottom horizontal side = 10 m - Right vertical side = 20 m 3. **Calculate the total perimeter:** The perimeter is the sum of all the side lengths: $$10 + 3 + 12 + 7 + 10 + 20 = 62$$ meters 4. **Determine how much more railing is needed:** Kayden currently has 50 m, so the additional railing needed is: $$62 - 50 = 12$$ meters 5. **Conclusion:** Kayden needs 12 more meters of railing to go all the way around the roof garden.