Straight Lines and Pair of Straight Lines Part 1

Let a triangle be bounded by the lines L1:2x+5y=10;L2:−4x+3y=12 and the line L3, which passes through the point P(2,3), intersects L2 at A and L1 at B. If the point P divides the line-segment AB, internally in the ratio 1:3, then the area of the triangle is equal to :