Dispensable sheet material includes opposite side edges spaced apart from one another to define the overall width of the sheet material. Zones of weakness are spaced along the sheet material. Adjacent zones of weakness are spaced apart by a distance of from about 50% to about 200% of the overall width of the sheet material to divide the sheet material into a plurality of sheet material segments. Each of the zones of weakness comprises a plurality of perforations and frangible sheet material portions. Each of the frangible sheet material portions has a width of from about 0.3 mm to about 1.8 mm. The total width of the frangible sheet portions in each zone of weakness is from about 10% to about 30% of the overall width of the sheet material. The sheet material has an elasticity in the dispensing direction of from about 4% to about 20%. The sheet material has a dry tensile strength in the dispensing direction of from about 4,000 grams per 3 inches of width to about 12,000 grams per 3 inches of width. The sheet material has a wet tensile strength in the weakest direction, typically, a direction orthogonal to the dispensing direction, of at least about 900 grams per 3 inches of width. In addition, the sheet material has a tensile ratio of less than about 2.0. A dispensing system includes a dispenser defining an interior for containing the sheet material and an outlet for allowing sheet material to be dispensed from the interior of the housing.