Respuesta :

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.