The side lengths of the mirrors are 1.5 ft and 2.5 ft respectively.
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 : [tex]A= a^2[/tex] , where [tex]a[/tex] is the side of the square.
Lets assume, the side length of smaller mirror is [tex]x[/tex] ft and the side length of larger mirror is [tex]y[/tex] ft.
So....
[tex]x^2= 2.25\\ \\ x= \sqrt{2.25}=1.5[/tex]
and
[tex]y^2= 6.25\\ \\ y= \sqrt{6.25}=2.5[/tex]
Thus, the side length of smaller mirror is 1.5 ft and side length of larger mirror is 2.5 ft.
