1 square yards to square feet

One square yard is 9 square feet

One square yard is 9 square feet, exactly. A yard is 3 feet, so a square yard is a square 3 feet on each side, and 3 x 3 = 9. There is no rounding in that number and no need for a calculator: multiply square yards by 9 to get square feet, and divide square feet by 9 to get back.

The same square yard is 1,296 square inches and 0.83612736 square meters. Both figures are listed as exact in the NIST Handbook 44 Appendix C table of area units, which is the table state weights and measures offices work from. The square meter figure follows from the yard itself: a yard is 0.9144 m by definition, and 0.9144 squared is 0.83612736.

Scale is the part people misjudge. A square yard is a patch about the size of a small bathroom rug, a stair landing, or the floor under a kitchen chair. A thousand square yards is 9,000 square feet, which is a fifth of an acre and about the footprint of a small warehouse. The unit is small, the numbers get large fast, and that is why carpet tags look cheap per square yard until you multiply.

One acre is 43,560 square feet, which is 4,840 square yards. That is the only other conversion most homeowners need, and it is a division by 9 away from the first one.

Why carpet and concrete are priced in square yards

Carpet in the United States is sold by the square yard, and the price on the tag is the price for 9 square feet of goods. The Maryland Attorney General carpet buying guide gives the retail rule plainly: multiply the room length by the width in feet, divide by nine, and add about 10 percent for irregular cuts. That is the whole measurement most salespeople will do in your living room.

The square yard survives because carpet comes off a roll. A standard roll is 12 feet wide, so one linear yard of that roll is 3 feet long and 12 feet wide, which is 36 square feet, or exactly 4 square yards. A room 12 feet by 15 feet needs 15 linear feet, or 5 linear yards, because the roll width covers the 12 foot direction with no seam. Learning to think in 4 square yard chunks makes a roll estimate easy to check against a store quote.

Concrete is the opposite case. It is ordered in cubic yards, and the square yard is just a waypoint on the way there. A cubic yard is 27 cubic feet, and poured 4 inches thick it covers 81 square feet. Contractors quote flatwork by the square foot and concrete by the cubic yard, so a homeowner comparing bids has to move between three units to see who is cheaper.

Flooring, padding, turf and some roofing underlayment follow carpet. Paint follows square feet, because a gallon covers roughly 350 square feet per coat. Knowing which unit a trade uses is half the work of pricing a job without getting taken.

Worked example: a 12 by 15 bedroom

Measure the room first. Twelve feet by fifteen feet is 180 square feet. Divide by 9 and the room is 20 square yards. At $3.50 per square yard the carpet costs $70.00 before anything else is added.

Now add the waste. Ten percent of 20 square yards is 2, so the order is 22 square yards, which is 198 square feet, and the carpet cost becomes $77.00. That extra $7.00 is what pays for the cut that has to go around a closet door, and skipping it is how a job ends up one stripe short at the threshold.

Padding is quoted separately and usually in square yards too, so the same 22 square yards applies. Installation is often a flat rate per square yard, which means the labor line moves with the carpet line and the waste allowance is charged twice. Ask whether the installer prices the measured area or the ordered area, because on a 22 square yard job the difference is 2 square yards either way.

Check the arithmetic from the other end. Twenty square yards is 180 square feet, and a 12 by 15 room is 180 square feet, so the two numbers agree. If a quote says 25 square yards for that room, someone measured 225 square feet, which is a 12.5 by 18 foot room and not the one you have.

For a room with a closet or an alcove, measure the main rectangle, then measure the alcove as its own rectangle and add the square feet before dividing. Breaking the floor into rectangles beats trying to measure around a corner with a tape, and it keeps the total honest.

Worked example: a 10 by 10 slab at 4 inches

A 10 foot by 10 foot patio is 100 square feet, which is 11.11 square yards. That is the flat area. The concrete is ordered by volume, so the thickness has to come in next: 100 square feet at 4 inches is 100 x 0.3333, which is 33.333 cubic feet.

Divide by 27 and the pour is 1.235 cubic yards. Ready mix is sold in quarter yard increments in most markets, so the order is 1.25 cubic yards, and a small load fee usually applies below 1 yard. If you are mixing bags instead, an 80 pound bag yields about 0.6 cubic feet, so 33.333 cubic feet needs 55.6 bags, which rounds to 56.

Fifty six bags is 4,480 pounds of concrete and a long afternoon with a wheelbarrow. That is the real reason most 10 by 10 slabs are poured from a truck: the bag count looks manageable until you count them.

The useful shortcut for flatwork is that one cubic yard covers 81 square feet at 4 inches. A 10 by 10 slab is 100 square feet, which is 1.23 times 81, and that matches the 1.235 cubic yards above. At 6 inches the same cubic yard covers 54 square feet, because thickness and coverage move in opposite directions.

Add 5 to 10 percent to a concrete order for grade variation and spillage, the same way carpet gets a waste allowance. On 1.235 cubic yards that is one more quarter yard, and running short mid pour costs far more than the extra concrete.

Price per square yard to price per square foot

Divide the square yard price by 9 and you have the square foot price. Carpet at $3.50 per square yard is $0.39 per square foot, or $38.89 per 100 square feet. Carpet at $32.00 per square yard is $3.56 per square foot. The first number looks small and the second looks large for the same goods, which is exactly why the industry quotes the smaller unit.

This is not a theory. A 1974 FTC case against a carpet retailer turned on the point that square foot pricing exaggerated how much carpet a customer was getting, and the FTC decision describes square yards as the unit consumers are used to comparing. Fifty years later the tag still reads per square yard.

Flooring is not the only place this shows up. Turf, some vinyl, and carpet tile are quoted in square feet while the carpet next to them is quoted in square yards, so a shopping trip can mix both units on one shelf. Convert everything to one unit before comparing, and the square foot is the easier one when the rooms are measured in feet.

One warning about comparing quotes. A square yard price that includes pad and installation is not the same product as a square yard price for carpet alone, and the gap between them can be $4 to $8 per yard. Ask for the total, then divide by the measured square yards to get a number you can compare across three bids.

Square yards to square meters, and where the 0.8361 comes from

Multiply square yards by 0.83612736 to get square meters. One square yard is 0.836127 square meters, ten are 8.3613, and a hundred are 83.6127. Going the other way, one square meter is 1.19599 square yards, so a 100 square meter apartment is about 119.6 square yards, or 1,076 square feet.

The factor is not arbitrary. A yard is defined as 0.9144 m exactly, a figure the NIST Guide to the SI, Appendix B.8 lists next to the mile and the foot. Square that definition and 0.9144 x 0.9144 = 0.83612736. The same route gives the square foot: 0.3048 squared is 0.09290304 square meters, and 0.09290304 x 9 is 0.83612736, which is the check that both conversions agree.

A European floor plan is the usual reason an American reader needs this. Listings in France and Germany give square meters, and a 70 square meter apartment is 83.7 square yards, or 753 square feet. A 120 square meter house is 143.5 square yards, or 1,292 square feet, which sits close to the US median for a new single family home.

The calculator above shows both directions at once, so there is no reason to do this by hand unless you are standing in a store without a phone. Type square yards on the left and the square feet, square inches, square meters and acres all follow.

Four measuring mistakes that cost a roll of carpet

The first mistake is measuring linear feet and calling it square feet. A room 12 feet by 15 feet has 27 linear feet of wall along two sides, and 27 is not the number to divide by 9. Multiply length by width, then divide.

The second is skipping the waste allowance. Ten percent is standard for a plain room, 15 percent for a room with a diagonal lay or several closets, and more when a pattern has to be matched across a seam. A patterned carpet with a 24 inch repeat can lose a full repeat at every seam, which on a 12 by 20 room is about 40 square feet of goods that end up in the dumpster.

The third is trusting a square yard figure from a listing. An apartment advertised at 900 square feet is 100 square yards, and a carpet quote for 100 square yards leaves no room for the 10 percent waste. The quote should read 110 square yards, and if it does not, ask what was measured.

The fourth is forgetting how small a square yard is. Nine square feet is a patch 3 feet on a side. A single stair tread is about 3 square feet, so three treads eat one square yard, and a full staircase of 14 treads is close to 5 square yards before the landing. Stairs are usually priced separately for that reason.

One last check that catches most errors: if the square yard number is smaller than the square foot number, the arithmetic is right, because a square yard is bigger. If a quote reverses that, the unit label is wrong somewhere.