What is the area of the shaded region of the rectangle?

Question

what will be the area of the shaded region of the following rectangle. Where 2m*2 and 3m*2 are the areas of the enclosed triangles. I'm trying to figure out any help. thanks

Answer 1

Hint 1

It is enough to find the area of half the rectangle.

Hint 2

Let the top, right and bottom triangles have areas $x,y,z$ respectively. Can you figure out the ratio $y:z$ based on the ratio $x:y$?