# Problem of the Week Problem D The Area Within

Quadrilateral $$ABCD$$ is constructed as follows:

• vertex $$A$$ is located at the origin;

• vertex $$C$$ is at the intersection point of the lines $$\ell_1:~ 5x+2y=30$$ and $$\ell_2:~ x+2y=22$$;

• vertex $$B$$ is at the intersection point of the $$y$$-axis and $$\ell_2$$; and

• vertex $$D$$ is at the intersection point of the $$x$$-axis and $$\ell_1$$.

Determine the area of $$ABCD$$.