A 13 inch notebook-style laptop created by HP in December 2011 and identified by model: Folio 13t-1000 (product number A4A71AV). Its dimensions are 12.54in (31.9 cm) x 8.67in (22cm) x 0.7in (1.8 cm) and its weight is 3.3lb (1.5kg).
If the battery won't hold a charge and the laptop won't continue operating when unplugged from a power source this means the battery is "dead" and needs to be replaced.