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: Find the scale factor

Given the scale \(3\ cm:1.5\ km\). To find the number to multiply by (scale factor), divide the actual distance by the map distance. Let \(x\) be the number. We have \(x=\frac{1.5}{3}\).

$$x = 0.5$$

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

The length of the picnic - area trail on the map is \(9\ cm\). Using the scale factor \(x = 0.5\), the actual length \(L\) is \(L=9\times0.5\).

$$L = 4.5$$

Answer:

The number is \(0.5\). The actual length of the picnic - area trail is \(4.5\ km\).