Question

chaya has a map that shows the lengths of some hiking trails. the scale is shown in the drawing. what number can you multiply each distance in the scale - drawing by to find the actual distance? 0.5 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 \(3\ cm:1.5\ km\). To find the factor to convert from cm on the map to km in real - life, we set up a proportion. If \(3\ cm\) on the map represents \(1.5\ km\) in real life, then for \(1\ cm\) on the map, the real - life distance \(x\) is given by \(\frac{1.5}{3}=0.5\). So we multiply each distance on the map by \(0.5\) to get the actual distance in km.

Step2: Calculate the actual length of the picnic area trail

The length of the picnic area trail on the map is \(9\ cm\). To find the actual length \(L\), we use the scale - factor. \(L = 9\times0.5\).
\[L=4.5\]

Answer:

The number to multiply each distance by is \(0.5\).
The actual length of the picnic area trail is \(4.5\) km.