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what number can you multiply each distance in the scale drawing by to f…

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

Explanation:

Step1: Determine the scale factor

Given the scale \(3\ cm:1.5\ km\), we can find the number to multiply by. Let \(x\) be the number. If \(3x = 1.5\), then \(x=\frac{1.5}{3}=0.5\). This means \(1\ cm\) in the drawing represents \(0.5\ km\) in actual.

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

The length of the picnic - area trail in the drawing is \(9\ cm\). Using the scale factor \(0.5\ km/cm\), the actual length \(L\) is \(L = 9\times0.5\).

Answer:

\(4.5\)