Answer: second option.
Explanation:
The formula that is used to calculate the perimeter of a square is:
![P=4s](https://img.qammunity.org/2020/formulas/mathematics/high-school/79k3axropd02pyknwztyqz0gs353etz5s8.png)
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:
![d=√((x_2-x_1)^2+(y_2-y_1)^2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jq23b7gn8a5hqb5oj8gmcxlbivj810cso4.png)
Let's choose the points of the vertices A and B and substitute them into the formula:
![d=s=√((3-2)^2+(4-(-2))^2)=√(37)units](https://img.qammunity.org/2020/formulas/mathematics/middle-school/46i85par01qlkz8qxz9l9vobvq0onugc48.png)
Substituting into
, you get:
![P=4(√(37)units)\\P=4√(37)units](https://img.qammunity.org/2020/formulas/mathematics/middle-school/x4sa8yvu6ef30508gqbbbkj2xc2nmbrp51.png)