Perpendicular Medians

Geometry Level 4

In the triangle \(ABC\), point \(D\) is located on edge \(AC\) and point \(E\) is located on edge \(AB\). \(BD\) and \(CE\) are the medians, and intersect at a right angle at \(O\). Given \(BD = 8\) and \(CE = 12\), if \(x\) is the area of triangle \(ABC\), find the value of \(x+8\).

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