Subjects algebra

Scale Drawing 0Cd9D2

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1. **State the problem:** Emma used a scale drawing with the scale 5 inches : 2 feet. The actual width of the closet is 8 feet. We need to find the width of the closet in the drawing in inches. 2. **Write the scale ratio as a fraction:** The scale means 5 inches in the drawing corresponds to 2 feet in reality. So, the ratio is $$\frac{5 \text{ inches}}{2 \text{ feet}}$$. 3. **Set up a proportion:** Let $x$ be the width in inches in the drawing. Then, $$\frac{5}{2} = \frac{x}{8}$$ 4. **Solve for $x$ by cross-multiplying:** $$5 \times 8 = 2 \times x$$ $$40 = 2x$$ 5. **Divide both sides by 2 to isolate $x$:** $$\frac{40}{\cancel{2}} = \frac{2x}{\cancel{2}}$$ $$20 = x$$ 6. **Interpret the result:** The width of the closet in the drawing is 20 inches. **Final answer:** The closet is 20 inches wide in the drawing.