For the system shown in $($Figure $1),$ BE and CF are steel wires having the same length and ABCD is a rigid member pinned at A $.$ The diameter of BE is $12\mathrm{.}7$ mm and the diameter of CF is $6\mathrm{.}35$ mm $.$

Using similar triangles based on the displacement of the rigid member downward, determine the deformation compatibility equation with the force in CF expressed as a function of the force in BE$.$

$F_{BE}=1\mathrm{.}60F_{CF}$

$F_{CF}=2\mathrm{.}50F_{BE}$

$F_{CF}=\mathrm{.}625F_{BE}$

$F_{CF}=\mathrm{.}400F_{BE}$