Answer:
The area is 10
Explanation:
The blue area can be divided into a square and a number of triangles, but it is just as easy to subtract the areas of the triangles around the outside:
The blue area is ...
16 -1 -1 -1 -2 -1 = 10 . . . . . . (CCW from upper left)
Also you can count the number of dots between each curve