Given:
The side of square = 12 in.
Scale factor of enlargement = 3 in : 2 m
To find:
The proportion that is use to solve the side length, x, of the enlarged square.
Solution:
Let, the side of length of enlarged square = x m
In case of enlargement the corresponding sides are proportional.
[tex]\dfrac{3}{12}=\dfrac{2}{x}[/tex]
[tex]3x=2\times 12[/tex]
[tex]3x=24[/tex]
Divide both sides by 3.
[tex]x=\dfrac{24}{3}[/tex]
[tex]x=8[/tex]
Therefore, the required proportion is [tex]\dfrac{3}{12}=\dfrac{2}{x}[/tex] and the side length of the square after enlargement is 8 m.
