What is the area of the trapezoid shown? Express your answer in simplest exact form.
I know that the base is 4 but I don't know the height.
Your base is correct !!!!
Draw a an altitude from the top right vertex to the base
This forms a 30-60-90 right triangle......which has sides of 1 , sqrt 3 and 2
sqrt 3 is the altitude (height)
Can you take it from there ???