Let's work on the triangle first. The x intercept of 2y=27-3x is
0 = 27 - 3x
3x = 27
x = 9
So A(9,0)
B is the meet of 2y=27-3x and y=3x
2y=27-y
3y=27
y=9
y is the height of OAB; we don't really need x
Area(OAB) =
Now we have to subtract
Area = 40.5 - 24.3 = 16.2
Answer: 16.2