In the figure, AE: EC = 1:2, CD: DB = 1:4, BF: FA = 1:3, and the area of △ ABC is s = 1, then the area of quadrilateral AFHG is______ .

In the figure, AE: EC = 1:2, CD: DB = 1:4, BF: FA = 1:3, and the area of △ ABC is s = 1, then the area of quadrilateral AFHG is______ .

Connecting AF, CG ∵ BF: AF = 1:3 ∥ let the area of △ BFH = x, then the area of △ AFH = 3x. Similarly, let the area of △ ahe = y, then the area of △ CEH = 2Y. From the meaning of the title, we can get: the area of △ Abe = 4x + y = 13, the area of △ ACF = 3Y + 3x = 34, solving the binary linear equations 4x + y = 133Y + 3x = 34, then the area of △ BFH =