Question

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

Explanation:

Step1: Identify the scale factor

The scale is $3\ cm:1.5\ km$, which can be written as a ratio $\frac{1.5\ km}{3\ cm}= 0.5\ km/cm$. This is the number to multiply each distance in the scale - drawing by to find the actual distance.

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

The length of the picnic - area trail in the drawing is $9\ cm$. Multiply the drawing length by the scale factor. The actual length $L$ is $L = 9\ cm\times0.5\ km/cm$.
$L=4.5\ km$

Answer:

The number to multiply each distance in the scale - drawing by to find the actual distance is $0.5\ km/cm$. The actual length of the picnic area trail is $4.5\ km$.