if you were able to make the figure you can notice that breadth of parallelogram is actually hypotenuse for the triangle made by both quadrilateral
and as hypotenuse is always largest than breadth of the parallelogram will be bigger than side of square so totally we would see that perimeter of parallelogram is larger than that of square
Answers & Comments
This answer can be logically to
if you were able to make the figure you can notice that breadth of parallelogram is actually hypotenuse for the triangle made by both quadrilateral
and as hypotenuse is always largest than breadth of the parallelogram will be bigger than side of square so totally we would see that perimeter of parallelogram is larger than that of square
hope you could understand.
SWAYAM