Use the image to answer the question. Use the given coordinates to compute the perimeter of the parallelogram. (1 point) Responses 26.6 units 26.6 units 28 units 28 units 13.3 units 13.3 units 25.2 units 25.2 units

1 answer

To compute the perimeter of the parallelogram, you need the lengths of its two adjacent sides. The formula for the perimeter \( P \) of a parallelogram is given by:

\[ P = 2(a + b) \]

where \( a \) and \( b \) are the lengths of the adjacent sides.

If you have the coordinates of the vertices, 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 determine the lengths of the sides \( a \) and \( b \), substitute these values back into the perimeter formula to find \( P \).

Since I can't see the image or coordinates you mentioned, I can't give you the exact perimeter. However, you would follow the steps above for calculation. Based on the responses you provided, the potential options for the perimeter are 26.6 units, 28 units, 13.3 units, and 25.2 units. Calculate the lengths of the sides to identify which option is correct.