Answer:
The perimeter of the square is [tex]36\sqrt{x}\ cm[/tex]
Step-by-step explanation:
step 1
Find the length side of the square
we know that
The area of a square is equal to
[tex]A=b^{2}[/tex]
where
b is the length side of the square
we have
[tex]A=81x\ cm^{2}[/tex]
substitute and solve for b
[tex]81x=b^{2}[/tex]
square root both sides
[tex]b=9\sqrt{x}\ cm[/tex]
step 2
Find the perimeter of the square
we know that
The perimeter of the square is equal to
[tex]P=4b[/tex]
we have
[tex]b=9\sqrt{x}\ cm[/tex]
substitute
[tex]P=(4)9\sqrt{x}[/tex]
[tex]P=36\sqrt{x}\ cm[/tex]
