Question

choya 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 picnic area trail?
km
length in scale drawing · 0.5 = actual length

Explanation:

Step1: Find the multiplier

Given the scale \(3\ cm:1.5\ km\). To find the multiplier, divide the actual distance by the scale - drawing distance. Let the multiplier be \(x\). If the scale is \(y\ cm\) (scale - drawing distance) and \(z\ km\) (actual distance), then \(x=\frac{z}{y}\). Here, \(y = 3\) and \(z=1.5\), so \(x=\frac{1.5}{3}=0.5\).

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

The length of the picnic - area trail in the scale drawing is \(9\ cm\). Using the formula \( \text{Actual Length}=\text{Length in Scale Drawing}\times0.5\). Substitute the value of the length in the scale drawing (\(9\ cm\)) into the formula: \(9\times0.5 = 4.5\)

Answer:

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