The $ABCD$ square-shaped field, measuring 19.36 hectares, has a point $E$ on the $AD$ side, 110 meters from $D$, to which a straight path leads from $B$. Antal and Béla are having a race. Antal starts from point $A$, and Béla from point $B$, both starting at the same time and running at a constant speed towards the common goal, point $D$. Béla reaches $D$ via the segments $BE + ED$. When Béla reaches $E$, Antal has a 30 m lead. Who wins the race and by how many meters?