As stated by the OP, H is the plate height, NOT the "packaging" height, whatever that may be.
L/H = (4 Tr/W)sqd
So, W = (4 Tr) / sq rt (L/H) ; NOTE you may need to correct Tr to Tr - T0, where T0 is the dead time, i.e. NO retention; N = usually around 5,000 - 10,000 plates, for HPLC column.
You have not been given H = HETP = height equivalent to a theoretical plate, so cannot give a numerical answer.
Regards,
Motoball