# Double Crosses

Geometry Level 3

The line $$l_{1} : y = \dfrac{3}{2}x - 6$$ is perpendicular to the line $$l_{2}$$, where the $$x$$-intercept of $$l_{2}$$ is at point $$(10.5 , 0)$$.

Let point $$A$$ be the intersection of both lines, point $$B$$ be the $$x$$-intercept of $$l_{1}$$, point $$C$$ be the $$y$$-intercept of $$l_{2}$$, and point $$O$$ be the point of origin $$(0 , 0)$$.

What is the area of the quadrilateral $$ABOC$$?

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