Question

what is the actual length of the picnic area trail? what number can you multiply each distance in the scale drawing by to find the actual distance? the scale is shown in the drawing. 3 cm : 1.5 km. ranger tower, parking, waterfall, picnic area. 3 cm, 6 cm, 9 cm

Explanation:

Step1: Identify the scale

The scale is $3\ cm:1.5\ km$, which can be written as a ratio $\frac{1.5\ km}{3\ cm}= 0.5\ km/cm$.

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

Let's assume the length of the picnic - area trail on the map is $9\ cm$. Multiply the map - length by the scale factor.
The actual length $L = 9\ cm\times0.5\ km/cm = 4.5\ km$.

Step3: Answer the second question

The number you can multiply each distance in the scale drawing by to find the actual distance is the scale factor. From the scale $3\ cm:1.5\ km$, the scale factor is $0.5\ km/cm$ (or $50000\ cm/cm$ since $1\ km = 100000\ cm$ and $0.5\ km=50000\ cm$).

Answer:

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