Step-by-step explanation:
The perimeter of a parallelogram is twice the sum of the length of a longer and a shorter side.
The length can be evaluated by the distance formula between two points (x_1,y_1), (x_2, y_2)
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For the longer side,
[tex]d=\sqrt{(7-(-4))^2+(3-2)^2}=\sqrt{122}[/tex]
or the shorter side,
[tex]d=\sqrt{(7-6)^2+(3-(-2))^2}=\sqrt{26}[/tex]
Therefore, the perimeter is given by,
[tex]2(\sqrt{122}+\sqrt{26})\approx254.2[/tex]
