Question

What is the perimeter of the parallelogram?

Answer 1

The answer to your question is 30 units

Answer 2

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