Areas in a Quadrilateral

Geometry Level 5

On triangle ABCABC, points DD and EE are chosen on line segments ABAB and ACAC, respectively. The lines CDCD and BEBE intersect at KK , within triangle ABCABC. If [DKB]=56,[BKC]=84 [DKB]=56, [BKC]=84 and [KEC]=90 [KEC]=90, what is [ADKE][ADKE]?

Note: [PQRS][PQRS] denotes the area of the figure PQRSPQRS.

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