Area of Triangle in Coordinate Plane

Consider triangle ABC plotted on the Cartesian plane where point A has coordinates (2, 3), point B has coordinates (6, 11), and point C has coordinates (10, 3).

Determine the area of triangle ABC using the formula for the area of a triangle when the vertices are given in coordinate form:

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

Calculate the area and select the correct answer.