Question

what number can you multiply each distance in the scale drawing by to find the actual distance?
what is the actual length of the picnic area trail?

Explanation:

Step1: Determine the scale factor

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

$$x = 0.5$$

Step2: Calculate the actual length of the picnic area trail

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

$$L = 4.5\mathrm{km}$$

Answer:

The number to multiply each distance in the scale drawing by to find the actual distance is \(0.5\). The actual length of the picnic area trail is \(4.5\mathrm{km}\).