Subjects geometry

Railing Needed 4Ce036

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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.