Answer:
5
Step-by-step explanation:
Given
Original Measurement = 11*9 inches
Measurement after enlargement = 55 * 45 inches
In order to find the scale factor, we can choose one side of the figure or the whole area and find the ratio between the measurement before enlargement and after enlargement.
In case of a side the answer will be the scale factor while in case of finding scale factor using areas the answer will be the square of scale factor.
So,
[tex]Scale\ factor =s^2= \frac{55*45}{11*9} \\s^2 = \frac{2475}{99} \\s^2=25[/tex]
As we know that this is the square of scale factor.
Hence the scale factor will be:
[tex]\sqrt{s^2}=\sqrt{25} \\s=5[/tex]
So, the scale factor is 5 ..
