The scale factor is 5/4 = 1 1/4
Explanation:
To find the scale factor, we use the ratio of the corresponding sides of new image against the old image.
We need an illustration as the diagram are orientated differently
From the diagram, the ratio becomes:
a/a = b/b
[tex]\begin{gathered} \frac{a}{a\text{ }}=\text{ new figure/old figure} \\ a/a=\frac{25/4}{5}=\frac{25}{4}\div5\text{ = }\frac{25}{4}\times\frac{1}{5} \\ \frac{a}{a\text{ }}=\frac{5}{4} \end{gathered}[/tex][tex]\begin{gathered} \frac{b}{b}\text{ = new figure/old figure} \\ \frac{b}{b}\text{ = }\frac{15}{12\text{ }}=\frac{5}{4} \end{gathered}[/tex]
Since a/a = b/b = 5/4
The scale factor is 5/4 = 1 1/4
