Therefore, according to the relationship between the angles of the triangle of 30 degrees, 60 degrees and 90 degrees, there are

AD=2

AE= root number 3

BC = (AD +DC)/ number of roots 3=4/ number of roots 3

So the area is 1/2 AC*BC=4*4/ root number 3 in/2 = 8/3 root number 3.