Answer: second option.
Step-by-step explanation:
The formula that is used to calculate the perimeter of a square is:
[tex]P=4s[/tex]
Where s is the lenght of any side of the square.
To know the lenght of a side of this square, you need to use the formula for calculate the distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let's choose the points of the vertices A and B and substitute them into the formula:
[tex]d=s=\sqrt{(3-2)^2+(4-(-2))^2}=\sqrt{37}units[/tex]
Substituting into [tex]P=4s[/tex], you get:
[tex]P=4(\sqrt{37}units)\\P=4\sqrt{37}units[/tex]
