What is the area of the trapezoid shown? Express your answer in the simplest exact form.
Drawing a perpendicular from the top left vertex to the base forms a 30-60-90 right triangle
The height = sqrt (3)
And the base of this triangle = 1
So...by symmetry......the bottom base of the trapezoid = 4
So...the area =
(1/2) sqrt (3) ( 4 + 2) =
( 3 sqrt 3) units^2