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shane made a scale drawing of a hotel. a room in the hotel, which is 18…

Question

shane made a scale drawing of a hotel. a room in the hotel, which is 18 feet wide in real life, is 51 inches wide in the drawing. what is the scale of the drawing? 17 inches : feet

Explanation:

Step1: Find the ratio of the drawing - to - real - life for the given values

We know that 51 inches in the drawing represents 18 feet in real - life. First, we want to find out what 17 inches in the drawing represents in real - life. Let's set up a proportion. If 51 inches corresponds to 18 feet, and we want to find out what $x$ feet 17 inches corresponds to. The proportion is $\frac{51}{18}=\frac{17}{x}$.

Step2: Cross - multiply and solve for $x$

Cross - multiplying gives us $51x = 17\times18$. Then $51x=306$. Divide both sides by 51: $x=\frac{306}{51}=6$.

Answer:

6