Relatively small, electrically isolated segments of LED light sheets are fabricated having an anode terminal and a cathode terminal. The segments contain microscopic printed LEDs that are connected in parallel by two conductive layers sandwiching the LEDs. The top conductive layer is transparent. Separately formed from the light sheet segments is a flexible, large area conductor backplane having a single layer or multiple layers of solid metal strips (traces). The segments are laminated over the backplane's metal pattern to supply power to the segment terminals. An adhesive layer secures the segments to the backplane. The metal pattern may connect the segments in series, or parallel, or form an addressable circuit for a display. The segments may be on a common substrate or physically separated from each other prior to the lamination.