# Area of one of four regions within a rectangle

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?

The White triangle is similar to the Red one Now Ratio of sides is $$2:3$$ (as the ratio of areas = ratio of bases if the height is same)
Seeking that, area of the white triangle $$= \frac{9}{4} \times$$ area of the red triangle $$= \frac{9}{2}$$ Following all the above, the Green region = $$5.5$$ units