Here is how to solve it:
The 2cm^2 and 3 cm^2 triangles has the same height, so that it means that the ratio between their base is 2:3.
So that the ratio for base for the triagnel 3cm^2 and the bank triangle is also 2:3, and thus their areas have a ratio of 2:3, which means the area for the blank triangle is 4.5.