Answer:
[tex]Height = 30cm[/tex]
[tex]Length = 360cm[/tex]
Step-by-step explanation:
Given
Scale Measurement
[tex]Height = 2cm[/tex]
[tex]Length = 24cm[/tex]
Required
Determine the possible actual measurement
First, calculate the equivalent ratio.
[tex]Ratio = \frac{Length}{Height}[/tex]
[tex]Ratio = \frac{24cm}{2cm}[/tex]
[tex]Ratio = 12[/tex]
To do this, we pick a scale factor.
Assume the scale factor is 15.
The actual measurement will be:
[tex]Height = 2cm * 15[/tex]
[tex]Height = 30cm[/tex]
[tex]Length = 24cm * 15[/tex]
[tex]Length = 360cm[/tex]
When the scale ratio is calculated, we have:
[tex]Ratio = \frac{Length}{Height}[/tex]
[tex]Ratio = \frac{360cm}{30cm}[/tex]
[tex]Ratio = 12[/tex]
Note that both have the same equivalent ratios of 12.
So, whatever the scale ratio you use, the equivalent ratio will be the same
