1. **State the problem:** Calculate the perimeter of an L-shaped rectilinear figure with given side lengths 100 cm (top horizontal) and 33 cm (bottom-left horizontal), and other sides implied by the shape. 2. **Understand the perimeter:** The perimeter is the total distance around the figure, which is the sum of all outer side lengths. 3. **Identify all sides:** The figure has 6 sides: top horizontal (100 cm), right vertical drop (unknown), middle horizontal inset (unknown), inner vertical drop (unknown), bottom-left horizontal (33 cm), and left vertical side (unknown). 4. **Use the properties of rectilinear figures:** Opposite vertical sides and horizontal sides must add up to the total height and width respectively. 5. **Calculate missing lengths:** - The total horizontal length is 100 cm. - The bottom horizontal side is 33 cm, so the middle horizontal inset is $100 - 33 = 67$ cm. 6. **Calculate vertical sides:** - The right vertical drop is 45 cm. - The inner vertical drop is 45 cm (since the figure is rectilinear and the vertical sides must add up). 7. **Sum all sides for perimeter:** $$P = 100 + 45 + 67 + 45 + 33 + 45$$ 8. **Simplify:** $$P = 100 + 45 + 67 + 45 + 33 + 45 = 335 \text{ cm}$$ **Final answer:** The perimeter of the L-shaped figure is **335 cm**.