To compute the perimeter of a parallelogram, you can use the formula:
\[ \text{Perimeter} = 2 \times ( \text{base} + \text{height} ) \]
However, in the given scenario, we typically need to know the lengths of the sides of the parallelogram, which can be derived from the coordinates.
If you have the coordinates for the vertices of the parallelogram, you can calculate the lengths of the sides using the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Once you find the lengths of the two sides (let's call them \(a\) and \(b\)), you can find the perimeter:
\[ \text{Perimeter} = 2a + 2b = 2(a + b) \]
Since the coordinates and the image are not provided here, I can’t perform specific calculations. However, based on your options, you would need to calculate \(a\) and \(b\) from the coordinates to select the corresponding perimeter from the available choices.
If you had already calculated the lengths and have a specific perimeter value in mind, feel free to share the details or coordinates so I can assist you accurately.