Question 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 $\triangle BGE.$