Described herein are surface coverings comprising: a linoleum core; a top major surface having a first length and a first width, the top major surface terminating at a first edge; a bottom major surface having a second length and a second width, the bottom major surface terminating at a second edge; and a peripheral edge surface extending between the first and second edges, the peripheral edge surface being planar and oriented obliquely to the top and bottom major surfaces; wherein at least one of the first length or first width is smaller than the second length or second width respectively. Methods of making and using these surface coverings are also described.