1. **State the problem:** We need to find the length on the drawing of a room that is 4 meters long using a scale of 1 to 50. 2. **Understand the scale:** A scale of 1 to 50 means that 1 unit on the drawing represents 50 units in real life. 3. **Formula:** To find the length on the drawing, use the formula: $$\text{Length on drawing} = \frac{\text{Actual length}}{\text{Scale factor}}$$ 4. **Apply the formula:** $$\text{Length on drawing} = \frac{4}{50}$$ 5. **Simplify the fraction:** $$\frac{4}{50} = \frac{\cancel{2} \times 2}{\cancel{2} \times 25} = \frac{2}{25}$$ 6. **Convert to decimal:** $$\frac{2}{25} = 0.08$$ 7. **Interpretation:** The length on the drawing is 0.08 meters, or 8 centimeters. **Final answer:** The length on the drawing is 0.08 meters.