Two right triangles \triangle A X Y and \triangle B X Y have a common hypotenuse X Y and side lengths (in units) A X=5, A Y=10, and B Y=2. Sides A Y and B X intersect at P. Determine the area (in square units) of \triangle P X Y.
Two right triangles \triangle A X Y and \triangle B X Y have a common hypotenuse X Y and side lengths (in units) A X=5, A Y=10, and B Y=2. Sides A Y and B X intersect at P. Determine the area (in square units) of \triangle P X Y.