Question

what number can you multiply each length in the scale drawing by to find the actual length? motel fire safety map scale = 6 in. : 30 yd

Explanation:

Step1: Simplify the scale ratio

The scale is 6 in : 30 yd. First, convert yards to inches. Since 1 yd = 36 in, 30 yd = 30×36 = 1080 in. The scale ratio is 6 in : 1080 in. Simplify $\frac{6}{1080}=\frac{1}{180}$. So to get the actual length from the scale - drawing length, we multiply by the reciprocal of the scale - drawing ratio.

Step2: Find the multiplier

The multiplier is $\frac{1080}{6}=180$.

Answer:

180