Two boards, one four inches wide and the other six inches wide, are nailed together to form an X. The angle at which they cross is 60 degrees. If this structure is painted and the boards are separated what is the area of the unpainted region on the four-inch board? Express your answer in simplest radical form. We can ignore the holes from the nails
I believe it was a mathcounts question. It was on a alcumus quiz and I got the answer wrong.