Question

chaya has a map that shows the lengths of some hiking trails. the scale is shown in the drawing.
4: 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

The scale is \(3\) cm \( = 1.5\) km. To find the scale factor (the number to multiply the map - distance by to get the actual distance), we calculate \(\frac{1.5}{3}\).

$$ \frac{1.5}{3}=0.5 $$

Step2: Find 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 of \(0.5\) (km per cm), we multiply the map - length by the scale factor. Let \(x\) be the actual length. Then \(x = 9\times0.5\).

$$ x=9\times0.5 = 4.5 $$

Answer:

\(4.5\)