1. **State the problem:** We have a rectangular garden that is 45 ft wide and 70 ft long. On a drawing, the width is represented as 9 inches. We need to find the length on the drawing. 2. **Formula and concept:** The drawing is a scaled version of the actual garden. The scale factor is the ratio of the drawing's width to the actual width. 3. **Calculate the scale factor:** $$\text{Scale factor} = \frac{\text{Drawing width}}{\text{Actual width}} = \frac{9 \text{ in}}{45 \text{ ft}}$$ Since 1 ft = 12 in, convert 45 ft to inches: $$45 \text{ ft} = 45 \times 12 = 540 \text{ in}$$ So, $$\text{Scale factor} = \frac{9}{540}$$ 4. **Simplify the scale factor:** $$\frac{9}{540} = \frac{\cancel{9}}{\cancel{540}} = \frac{1}{60}$$ 5. **Find the length on the drawing:** $$\text{Drawing length} = \text{Actual length} \times \text{Scale factor} = 70 \text{ ft} \times \frac{1}{60}$$ Convert 70 ft to inches: $$70 \text{ ft} = 70 \times 12 = 840 \text{ in}$$ So, $$\text{Drawing length} = 840 \times \frac{1}{60} = \frac{840}{60}$$ 6. **Simplify the fraction:** $$\frac{840}{60} = \frac{\cancel{840}}{\cancel{60}} = 14 \text{ in}$$ **Final answer:** The length on the drawing is **14 inches**.