A method of cutting an elastomeric strip of material is described. The method includes the step of advancing a strip of material 2 a predetermined distance by a conveyor means 30. Resisting reverse movement of the strip 2; tensioning the strip 2; and cutting simultaneously across the entire width of the strip 2 through the thickness of the strip 2 on a skive angle of 45 degrees or less preferably about 28 degrees to form a cut length of material thereby relaxing the tension in the strip as the skive cut ends 3 and 4 move apart. This method of cutting can be accomplished by providing an apparatus 100 for cutting an elastomeric strip of material 2 which has a frame assembly 50, a motorized feed conveyor 30 mounted onto the frame 50 for advancing the strip material 2, a cutter assembly 20 mounted on the frame assembly 50 including a guillotine cutter 22 oriented to move along a skive angle α, a second conveyor means 40 for supporting the strip 2, the second conveyor means 40 having rollers 42 having a one way directional movement in the forward direction resistant to movement in the reverse direction; a motor 32 connected to the feed conveyor 30 to drive the conveyor 30 in an advancing direction and having a reverse tensioning direction; and wherein the cutter assembly 20 is positioned between the second conveyor means 40 and the feed conveyor 30 to cut the strip 2 after a tension is applied to the strip by reverse motion of the feed conveyor 30.