The side lengths of the mirrors are 1.5 ft and 2.5 ft respectively.
Step-by-step explanation
Given that, the area of smaller mirror is 2.25 ft² and the area of larger mirror is 6.25 ft²
Formula for the area of a square :
, where
is the side of the square.
Lets assume, the side length of smaller mirror is
ft and the side length of larger mirror is
ft.
So....

and

Thus, the side length of smaller mirror is 1.5 ft and side length of larger mirror is 2.5 ft.