In a right-angled triangle ABC with B = 90°, the length of side AB = 8 units and the length of side BC = 6 units. Point D is on side AC such that AD: DC = 2:3. Point E is on side BC such that BE: EC = 3:4.
If the area of triangle BDE is maximized, what is the ratio of the areas of triangles BDE and ABC?
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