△ABC is constructed such that AB=3, BC=4, and ∠ABC=90∘. Point P is chosen inside △ABC, and points E and F are drawn such that they form line segments with P that are perpendicular to sides AB and BC, respectively. If L is the locus of all points P such that [PEBF]≥1, then find the value of ⌊1000[ABC][L]⌋
Details and Assumptions:
[N] means the area of the locus N, and [PQRS] means the area of PQRS. ⌊x⌋ is the floor function.