1. **State the problem:** Calculate the perimeter of the given L-shaped polygon with sides labeled 100 cm, 45 cm, and 33 cm, and other segments given in meters (0.33 m, 0.45 m, 0.8 m, 1 m). 2. **Convert all lengths to the same unit:** Since some lengths are in centimeters and others in meters, convert meters to centimeters (1 m = 100 cm). - $0.33\text{ m} = 0.33 \times 100 = 33\text{ cm}$ - $0.45\text{ m} = 0.45 \times 100 = 45\text{ cm}$ - $0.8\text{ m} = 0.8 \times 100 = 80\text{ cm}$ - $1\text{ m} = 1 \times 100 = 100\text{ cm}$ 3. **Identify all sides of the polygon:** The L-shape has 6 sides total. From the problem, the sides are: - Top horizontal: 100 cm - Right vertical: 45 cm - Bottom-left horizontal: 33 cm - Other sides: 33 cm, 45 cm, 80 cm, 100 cm (converted from meters) 4. **Sum all side lengths to find the perimeter:** $$\text{Perimeter} = 100 + 45 + 33 + 33 + 45 + 80 + 100$$ 5. **Calculate the sum:** $$100 + 45 = 145$$ $$145 + 33 = 178$$ $$178 + 33 = 211$$ $$211 + 45 = 256$$ $$256 + 80 = 336$$ $$336 + 100 = 436$$ 6. **Final answer:** $$\boxed{436\text{ cm}}$$ The perimeter of the L-shaped polygon is 436 cm.