The perimeter of the given triangle is 14 units, so the correct option is B.
How to get the perimeter of the triangle?
The perimeter of the triangle will be equal to the sum between the distances between the given points.
Remember that the distance between two points is (x₁, y₁) and (x₂, y₂) is:
[tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]
For the pair of (1,3), (2,-3): the distance is:
[tex]d = \sqrt{(2 - 1)^2 + (-3 - 3)^2} = 6.08[/tex]
For the pair (1, 3) , (-1, -1) the distance is:
[tex]d = \sqrt{(-1 - 1)^2 + (-1 - 3)^2} = 4.5[/tex]
For the pair (2, -3) and (-1, -1) the distance is:
[tex]d = \sqrt{(2 - (-1))^2 + (-3 - (-1))^2} = 3.6[/tex]
Then the total perimeter, rounded to the next whole number is:
6.08 + 4.5 + 3.6 = 14
So the correct option is B.
If you want to learn more about triangles, you can read:
https://brainly.com/question/4289712
