Intersecting Lines and Triangles

Geometry Level 2

Lines \(l_1\) and \(l_2\) intersect at \(O\). \(A\) and \(C\) are points on \(l_1\) such that \( OA = 11, OC = 9 \). \(B\) and \(D\) are points on \( l_2\) such that \( OB = 3, OD = 22 \). What is the ratio \( \frac{ [OCD] } { [OAB] } \)?

Details and assumptions

\([PQRS] \) denotes the area of figure \(PQRS\).

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