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.
Scale Drawing 0Cd9D2
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