1. **State the problem:** Kayden has 50 m of railing but needs to know how much more railing is required to go all the way around the roof garden, which has a composite shape with given side lengths.
2. **Identify the total perimeter needed:** The railing must cover the entire outer boundary of the shape. We add all the given side lengths:
- Right vertical side: 20 m
- Top horizontal side: 10 m
- Top left vertical segment: 3 m
- Middle left vertical segment: 12 m
- Bottom left horizontal segment: 7 m
- Bottom horizontal side: 10 m
3. **Calculate the total perimeter:**
$$20 + 10 + 3 + 12 + 7 + 10 = 62\text{ m}$$
4. **Determine how much more railing is needed:** Kayden currently has 50 m, so the additional railing required is:
$$62 - 50 = 12\text{ m}$$
5. **Conclusion:** Kayden needs 12 more meters of railing to go all the way around the roof garden.
Railing Needed 4Ce036
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