ABE is a 30 60 90 triangle
Ratio of short leg:long leg :hypo = a: a√2: 2a
Given short leg AE = 2 so hypo AB = 2*2 = 4
In Parallelogram, opposite sides are equal
so
AB = CD = 4
AC = AE + EC = 2 + 9 = 11
BD = AC = 11
Perimeter = 4 + 4 + 11 + 11 = 30
Answer
Perimeter is 30 units