Answer:
2√26+8 units
Step-by-step explanation:
Perimeter of the parallelogram will be the sum of all the sides of the parallelogram.
Note that the opposite sides of a parallelogram are equal hence
|WZ| = |XY| and |WX| = |ZY|
Given |WZ| = √26, |XY| = √26
To get |WX|, we will take the distance between the point W and X
|WX| = √{(2-(-2)}²+(2-2)²
|WX| = √4²+0²
|WX| = √16
|WX| = 4
Therefore |WX| = |ZY| = 4
Perimeter of the parallelogram = |WZ| + |XY| + |WX| + |ZY|
= √26+√26+4+4
= 2√26+8
The perimeter of the parallelogram is 2√26+8 units
