This one may look more complicated than Pandora's,

but it turns out "beautifully simple"!

Area of triangle ABC is 13824 square feet.

The length of line segment BD is 4/15 of line segment AB.

The length of line segment CE is 5/12 of line segment AC.

The length of line segment AF is 3/20 of line segment AB.

What is the area of triangle DEF?