In the diagram below, start overline, E, F, end overline
EF
is parallel to start overline, B, C, end overline
BC
. If start overline, B, C, end overline
BC
is twice the length of start overline, E, D, end overline
ED
, B, D, equals, 24BD=24, and E, F, equals, 12EF=12, find the length of start overline, E, D, end overline
ED
. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.