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You also need to specify the average depth.(And by "yards" we assume you mean cubic yards).
You are mixing volume (square yard) and area (length x width). How deep do you want the dirt? One foot deep you need about 80 square yards of dirt.
A yard of dirt is 3ft x 3ft x 3ft, or 27 cubic ft. The hole you need to fill is 8ft x 4ft x 1ft, or 32 cubic ft. You'll need 32/27th yards of dirt, or about 1.19 yards of dirt. Call it a yard and a half if you want to account for settling.
0.69444 cubic yard (rounded)
2.37 cubic yards.