Subjects measurement

Scale Line Lengths C38E5C

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1. **State the problem:** We need to find the length of a line on a scale drawing where 1 cm on the drawing represents 64 cm in real life. We are given real distances and must convert them to the drawing scale. 2. **Formula:** The length on the drawing is given by $$\text{Drawing length} = \frac{\text{Real length}}{\text{Scale factor}}$$ where the scale factor is 64 cm per 1 cm. 3. **Calculate each length:** (5) For 224 cm: $$\frac{224}{64} = \frac{\cancel{224}}{\cancel{64}} = 3.5 \text{ cm}$$ (6) For 32 cm: $$\frac{32}{64} = \frac{\cancel{32}}{\cancel{64}} = 0.5 \text{ cm}$$ (7) For 352 cm: $$\frac{352}{64} = \frac{\cancel{352}}{\cancel{64}} = 5.5 \text{ cm}$$ (8) For 440 cm: $$\frac{440}{64} = 6.875 \approx 6.9 \text{ cm}$$ 4. **Final answers rounded to the tenths place:** - (5) 3.5 cm - (6) 0.5 cm - (7) 5.5 cm - (8) 6.9 cm These are the lengths needed on the drawing to represent the given real distances using the scale 1 cm = 64 cm.