Hey there!
Since the Parralelogram is 5 units high, you can use Pythagoras (\(C=\sqrt{A^2+B^2}\) to gather the length of the slanted sides.
Perimiter = Top + Bottom + 2 Slanted Sides = \(4+4+\sqrt{5^2+1^2}\)
Thus your Perimeter is:
\(4+4+5.1\approx13.1 units\)
Hope this helps :)