This will vary by brand and style carpet.
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The roll has 12.5 square feet of material.
The square footage of a 12 x 12 room is 144 feet. Most carpet comes in 12 foot width or wider. If it is 12 foot wide you just need a 12 foot piece off the roll. If the carpet is wider, you still have to buy that width and will have some waste.
8,435 sq. feet
10 square yards. Note, the amount of carpet you have to pay for may actually be more than 10 square yards as you will have to buy the entire width of the roll * the length you need. Assuming it is 12' wide you would need 12 square yards and if its 15' wide you would need 15 yards. No carpet store sells carpet by what you need but only by what the width of the roll is. So if you need a 10 x 9 piece, the carpet only comes 12 foot wide so you would take home a piece of carpet 12 x 9.
270 square feet.