Honestly, I have no idea what it means by decomposition, but this is my best bet on what it means: Dividing the polygon into smaller, easier sections and solve for area and add them up.
Answer:

Step-by-step explanation:
I think this question is a bit hard to explain by typing, so I'll add an image down below.
I used long division for this question, and the final answer is: 
0.4215, 0.025, 0.001, 0.221
Answer:
first one is 23
second is 20
Step-by-step explanation:
Looks like the larger triangle is equilateral (well, it must be, otherwise finding the area is impossible). That means the inradius is 6 and the outradius is 12, which is to say the altitudes (equal to the height, in this case) of this triangle have length 6 + 12 = 18.
In the smaller right triangle, the length of the missing leg is half the base of the larger triangle; call this length
By the Pythagorean theorem,

Then the area of the larger triangle is
