2025 AIME II Problem 1

Six points A, B, C, D, E, and F lie in a straight line in that order. Suppose that G is a point not on the line and that AC=26, BD=22, CE=31, DF=33, AF=73, CG=40, and DG=30. Find the area of \triangle BGE.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.