Question

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: Find the scale - factor

The scale is given as $3\ cm:1.5\ km$. First, convert the units so that they are the same. Since $1\ km = 100000\ cm$, $1.5\ km=1.5\times100000 = 150000\ cm$. The scale - factor $k$ is found by dividing the actual distance by the distance on the drawing. So, $k=\frac{150000}{3}=50000$. This means you multiply each distance in the scale drawing by 50000 to get the actual distance.

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

The length of the picnic - area trail on the drawing is $9\ cm$. To find the actual length $L$, use the formula $L = \text{scale - factor}\times\text{drawing length}$. So, $L=50000\times9\ cm$. Since $1\ km = 100000\ cm$, convert the result to kilometers. $L=\frac{50000\times9}{100000}\ km$.
$L = 4.5\ km$

Answer:

$4.5$