1. **State the problem:** We have a corridor with an actual length of 18 meters, and it is drawn to a scale of 1 : 150. We need to find the length of the corridor in the drawing. 2. **Formula and explanation:** The scale 1 : 150 means that 1 unit on the drawing represents 150 units in real life. 3. **Set up the proportion:** Let $x$ be the length of the corridor in the drawing. Then: $$\frac{x}{18} = \frac{1}{150}$$ 4. **Solve for $x$:** Multiply both sides by 18: $$x = \frac{1}{150} \times 18$$ 5. **Calculate:** $$x = \frac{18}{150}$$ 6. **Simplify the fraction:** $$x = \frac{\cancel{18}^{3}}{\cancel{150}^{25}} = \frac{3}{25}$$ 7. **Convert to decimal:** $$x = 0.12$$ **Final answer:** The length of the corridor in the drawing is $0.12$ meters.