Area of a Triangle in Coordinate Plane

In a coordinate plane, consider a triangle with vertices at points A(1, 2), B(5, 2), and C(3, 6). Calculate the area of this triangle.

Use the formula for the area of a triangle defined by three vertices at coordinates \\( (x_1, y_1) \\, (x_2, y_2) \\, (x_3, y_3) \\\):

$$ ext{Area} = rac{1}{2} imes |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)| $$

Determine the area in both decimal and fractional form for your grid-in answer.