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 ???
Thank you!
![[asy] unitsize(1.5cm);pair a=(0,0); pair b=(1,sqrt(3)); pair c=(3,sqrt(3)); pair d=(4,0);draw(a--b--c--d--a);label(](/api/ssl-img-proxy?src=https%3A%2F%2Flatex.artofproblemsolving.com%2F3%2Fc%2F4%2F3c4675d5f3e80b23b27200e0b538b4fb8d19da26.png)
