area of shaded region is called x.
Total area minus blank region= x
lets call area of blank region y
lets call total area z
z−y=x
z=(12×9)/2
z=54
y=12×52
y=30
Plug them in to get
54−30=x
x=24
Here's another way:
The area of the 2 triangles is 12×(5+4)÷2=54
The area of the white triangle is 12×5÷2=30
This means that the area of the shaded region is 54−30=24