simple Mathematics puzzle- Ratio

     

       There is a figure below (a rectangle). You can see different colors depicting different regions of the figure. The labels on the top of a region defines the area of that region. 

Can you find the area of the green shaded region labelled with a question mark? 

Solution:

      This problem can be solved with similar triangles property.
       The White triangle is similar to the Red one
       Now Ratio of sides is 2:3 (as ratio of areas = ratio of based if the height is same)
       Seeking that, White triangle = 9/4 * Yellow triangle = 9/2
       Following all the above, the Green region = 5.5 units