Answer: [tex]63.2\ cm[/tex]
Step-by-step explanation:
The area of a square can be calculated with the following formula:
[tex]A=s^2[/tex]
Where "s" is the lenght of each side.
If you solve for "s":
[tex]s=\sqrt{A}[/tex]
According to the information provided in the exercise, the area of the square photo frame is:
[tex]A=250\ cm^2[/tex]
Knowing its area, you can substitute it into [tex]s=\sqrt{A}[/tex] and evaluate in order to find "s":
[tex]s=\sqrt{250\ cm^2}\\\\s=15.81\ cm[/tex]
Since the perimeter of a figure is the sum of the lenght of its side and the all four sides of a square are equal, you get that its perimeter is:
[tex]P=15.81\ cm+15.81\ cm+15.81\ cm+15.81\ cm\\\\P\approx63.2\ cm[/tex]
