Forget the sheet... buy a roll of seamless paper. They come in varying widths from 4 ft to 12 feet (15 for white) and in about 50 color variations. Sheets can come out opaque/flat and will show creases and are prone to shadowing.
Best thing you can do is just rent a light kit for the day. You only need a small one with 3-4 heads depending on what you are doing. When shooting there turn those fluroescents off as they will give you a bad color cast on your subjects.
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