virgate
Latin, virgata.
The virgate was a unit in the assessment system in most of the counties of Wessex and western Mercia, one quarter of a hide or 30 fiscal acres. J.H. Round long ago provided illustrations of the relationship of hides, virgates and acres, mainly from circuit 3 and especially from Cambridgeshire, where the Cambridge Inquisition provides totals for the hidage of each vill as well as each manor, giving greater confidence in the arithmetic involved.
Orwell provides a particularly clear example. The Cambridge Inquisition records that 'Orwell answers for 4 hides', the details being:
Entry Hides Virgates Acres
11,5 0 1/4 0
13,8 1 1 1/3 0
14,41 0 3 1/4 5
17,6 0 1 0
21,6 0 1 0
22,10 0 1 1/3 0
26,34 0 3 1/3 0
31,5 0 1/3 0
Total 1 10 5/6 5
Exactly 4 hides if the equation 1 hide = 4 virgates = 120 acres holds true.
For more detail, see J.H. Round, Feudal England (1895).