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You will need a minimum of 38.6 square yards of carpet to cover that area.
2 yards
You will need 7.1 square yards of fabric.
The width 12 feet is four yards, so the area would be 4 yards * 50 yards = 200 square yards. You would need 200 square yards of carpeting to cover that area.
To cover that area to that depth - you would need just under 8 cubic yards of soil.