Let ABC be a triangle such that AB = 6, AC = 8 and BC = 10. Let M be the midpoint of BC. Draw Square AMDE as above, and let MD intersect AC at F.

Find the area of quadrilateral AFDE.

AM = 1/2 (BC) ∠ABM ≅ ∠BAM ΔABC ~ ΔAMF

[AFDE] = 15.625 square units