When x = 2 y = 3
so f(2) = 3
I m getting 308.11, there is an additional 0.60 that is added, maybe your source is wrong, or there is a copying error.
A super easy way of doing this (my geometry teacher is my source) Plot all of the points on a graph, and then, draw the lines until you get a triangle, then, count all of the squares. The amount of squares will be your area.