Question

1. what number can you multiply each distance in the scale drawing by to find the actual distance? 0.5 4) what is the actual length of the picnic - area trail? km 3 cm : 1.5 km

Explanation:

Step1: Determine the scale factor

The scale is given as $3\ cm:1.5\ km$. First, convert the scale to a unit - less ratio. Since $1.5\ km = 150000\ cm$, the scale ratio is $\frac{3}{150000}=\frac{1}{50000}$. This means we multiply each distance in the scale - drawing by 50000 to get the actual distance in centimeters. But if we want to get the actual distance in kilometers, from the scale $3\ cm$ represents $1.5\ km$, so the factor to multiply by to get the actual distance in kilometers is $\frac{1.5}{3}=0.5$.

Step2: Calculate the actual length of the picnic - area trail

The length of the picnic - area trail in the scale - drawing is $9\ cm$. Using the scale factor of $0.5$ (to convert from scale - drawing distance in cm to actual distance in km), we multiply the scale - drawing length by the scale factor. So the actual length $L$ is $L = 9\times0.5=4.5$ km.

Answer:

4.5