Question

use the provided ruler to find the scale and the scale factor of the drawing.
120 m
the scale is \\( \square \mathrm { cm } : \square \mathrm { m } \\).
the scale factor is \\( \square \\).

Explanation:

Step1: Measure the length on the drawing

Using the ruler, the length on the drawing is \(0.5\) cm.

Step2: Determine the scale

The actual length is \(120\) m. So the scale is \(0.5\) cm:\(120\) m.

Step3: Simplify the scale

Multiply both parts of the scale by \(2\) to get \(1\) cm:\(240\) m.

Step4: Convert units for scale - factor

Since \(1\) m \( = 100\) cm, \(240\) m \(=240\times100 = 24000\) cm.
The scale - factor is the ratio of the drawing length to the actual length. The scale is \(1\) cm:\(24000\) cm. So the scale - factor \(=\frac{1}{24000}\)

Answer:

The scale is \(1\) cm:\(240\) m.
The scale factor is \(\frac{1}{24000}\)