Please see picture attached:

I need to find the size of the Green rectangle.

I am trying to cut the Green rectangle out between the parallel lines.

The Green rectangle has to be in the ratio of 27:10

I attempted using trigonometry, I calculated the angle between the diagonal line of the Green rectangle and its longer adjacent line is 22 degrees.

But now I am stuck. Please help!

edit: The 220 cm line is perpendicular to the parallel lines. The 300 cm line is also the longer Green line extanded.