Answer:
The shorter side should be 3 inches
Step-by-step explanation:
Let, the longer side of the image be 'x'.
We have the flag with dimensions 4 inch by 8 inch.
It is given that the flag and its enlarged image are similar.
Since, 'similar figures have the ratio of the sides equal'.
So, we get,
[tex]\frac{4}{8}=\frac{x}{6}[/tex]
i.e. [tex]x=\frac{4\times 6}{8}[/tex]
i.e. [tex]x=\frac{24}{8}[/tex]
i.e. x = 3 inches.
Thus, the shorter side should be 3 inches so that the flag and its image are similar.