Subjects geometry

Scale Factor 829C67

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1. **State the problem:** Raymond drew a scale drawing of a house. The garage is 4 meters wide in real life and 2 millimeters wide in the drawing. We need to find the drawing's scale factor as a simplified fraction. 2. **Understand the scale factor:** The scale factor is the ratio of a length in the drawing to the corresponding length in real life. 3. **Convert units to be consistent:** Real-life width is 4 meters. Drawing width is 2 millimeters. Since 1 meter = 1000 millimeters, 4 meters = $4 \times 1000 = 4000$ millimeters. 4. **Write the scale factor as a fraction:** $$\text{Scale factor} = \frac{\text{drawing length}}{\text{real length}} = \frac{2 \text{ mm}}{4000 \text{ mm}}$$ 5. **Simplify the fraction:** $$\frac{2}{4000} = \frac{\cancel{2}^1}{\cancel{4000}^{2000}} = \frac{1}{2000}$$ 6. **Final answer:** The drawing's scale factor is $\boxed{\frac{1}{2000}}$. This means 1 millimeter in the drawing represents 2000 millimeters (or 2 meters) in real life.