QUESTION IMAGE
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 waterfall trail?
km
3 cm : 1.5 km
Step1: Find the scale - factor
Given the scale $3\ cm:1.5\ km$, we can find the number to multiply by. First, convert the ratio to a single - multiplier. If $3\ cm$ represents $1.5\ km$, then for $1\ cm$ the actual distance is $\frac{1.5}{3}=0.5\ km$. So we multiply each distance in the scale drawing by $0.5$ to get the actual distance in km.
Step2: Calculate the actual length of the waterfall trail
The length of the waterfall trail in the scale drawing is $6\ cm$. Multiply the scale - drawing length by the scale - factor. The actual length $L = 6\times0.5=3\ km$.
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