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Question
emma measured her room and made a scale drawing. she used the scale 5 inches : 2 feet. if the actual width of the closet is 8 feet, how wide is the closet in the drawing?
inches
Step1: Set up the proportion
Let \( x \) be the width of the closet in the drawing. The scale is \( 5 \) inches : \( 2 \) feet, so we can set up the proportion \(\frac{5}{2}=\frac{x}{8}\).
Step2: Solve for \( x \)
Cross - multiply: \( 2x = 5\times8 \).
Simplify the right - hand side: \( 2x=40 \).
Divide both sides by 2: \( x=\frac{40}{2}=20 \).
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