Answer:
1) [tex]P=4s[/tex]
2) [tex]P=4\sqrt{A}[/tex]
see the explanation
Step-by-step explanation:
we know that
The perimeter of the square is equal to
[tex]P=4s[/tex]
where
s is the length side of the square
we have
[tex]P=15,2\ cm[/tex]
substitute
[tex]15.2=4s[/tex]
solve for s
[tex]s=15.2/4=3.8\ cm[/tex]
The area of a square is equal to
[tex]A=s^2[/tex]
substitute
[tex]A=3.8^2=14.44\ cm^2[/tex]
we have that
[tex]s=\sqrt{A}[/tex]
therefore
2 equations that can determine the perimeter of the square are
1) [tex]P=4s[/tex] ----> [tex]P=4(3.8)=15.2\ cm[/tex]
2) [tex]P=4\sqrt{A}[/tex] ----> [tex]P=4\sqrt{14.44}=15.2\ cm[/tex]