Subjects geometry

Scale Drawing 7059E9

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1. **Problem:** Michael drew a scale drawing where 0.5 inches equals 1 foot. a. If the hallway is 2.5 inches wide in the drawing, find the actual width. b. If the building is 60 feet wide, find the width in the drawing. 2. **Formula and rules:** - Scale factor: 0.5 inches = 1 foot. - To find actual size from drawing: actual = drawing \times \frac{1\text{ foot}}{0.5\text{ inches}}. - To find drawing size from actual: drawing = actual \times \frac{0.5\text{ inches}}{1\text{ foot}}. 3. **Step a:** Actual width = $2.5 \times \frac{1}{0.5} = 2.5 \times 2 = 5$ feet. 4. **Step b:** Drawing width = $60 \times \frac{0.5}{1} = 60 \times 0.5 = 30$ inches. **Final answers:** - a. The actual hallway is 5 feet wide. - b. The building is 30 inches wide in the drawing.