1. **State the problem:** We have a scale drawing of a motel where 6 inches on the drawing corresponds to 30 yards in actual length. The east side of the motel measures 2 inches on the drawing. We need to find the actual length of the east side. 2. **Identify the scale factor:** The scale tells us that 6 inches in the drawing equals 30 yards in reality. To find the scale factor (the number to multiply each length in the drawing by to get the actual length), we use the formula: $$\text{Scale factor} = \frac{\text{Actual length}}{\text{Drawing length}} = \frac{30 \text{ yards}}{6 \text{ inches}}$$ 3. **Calculate the scale factor:** $$\frac{30}{6} = 5$$ So, each inch in the drawing represents 5 yards in reality. 4. **Find the actual length of the east side:** The east side is 2 inches on the drawing. Multiply by the scale factor: $$2 \text{ inches} \times 5 = 10 \text{ yards}$$ 5. **Answer:** The actual length of the east side is 10 yards. 6. **Summary:** The number you multiply each length in the scale drawing by to find the actual length is 5.