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Square Footage Calculator

Enter each dimension in feet and inches, and the number of rooms, to get the total square footage plus the same area in square yards, square metres and square inches.

Length in decimal feet
12.00 ft
Width in decimal feet
10.00 ft
Total area
120.00 sq ft
Total area
13.33 sq yd
Total area
11.15 sq m
Total area
17,280 sq in
12 ft10 ft
The floor footprint, drawn to the entered length and width.

Square feet = Length × Width, with both measured in feet. Inches are converted to feet by dividing by 12 before multiplying.

Written by
MPhil in Mathematics, Founder of Mathovia
Published

Mathematics verification: Mathematical formulas, calculations, worked examples and solutions are reviewed for accuracy before publication. How we check our work

Square footage is the number almost every other home-improvement estimate is built on. Flooring, paint, tile, underlay, insulation, heating loads and rental listings all start from it, which means a sloppy measurement quietly propagates into every quote you get. The arithmetic itself is one multiplication — the part people get wrong is the units.

Square Footage Calculator formula
The Square Footage formula

The square footage formula

is the area in square feet, and and are the length and width in feet. That is the whole formula. Everything else on this page is about getting and into feet correctly, and about what to do when the floor is not a plain rectangle.

When a tape measure gives you feet and inches, convert the inches first:

So 10 ft 6 in is ft, and 12 ft 3 in is ft. Do this to both dimensions before multiplying. Multiplying feet by inches produces a number that means nothing at all, and it is easily the most common mistake in the whole calculation.

How to calculate square feet of a room

  1. Measure the longest wall, floor level, from one wall face to the other. Write it down as feet and inches.
  2. Measure the width the same way, at right angles to the length.
  3. Convert both to decimal feet by dividing the inches by 12.
  4. Multiply the two decimal-feet figures together.
  5. If you have several identical rooms, multiply by the number of them.

Measure at floor level rather than at waist height. Walls are rarely plumb in an older house, and skirting boards, radiator pipes and out-of-square corners can move a wall by an inch or two over its length. If the two ends of a wall disagree, use the larger figure for material ordering and the average for a listing.

Worked example

Take a room measured at 12 ft 6 in long and 10 ft 3 in wide.

Step 1 — convert the length to decimal feet.

Step 2 — convert the width the same way.

Step 3 — multiply.

So the room is a little over 128 square feet. In the other units people commonly need:

Notice what happens if you skip step 1 and multiply 12.5 by 10.3 because “3 inches is about 0.3 feet”. You get 128.75 sq ft — only half a square foot out, which sounds harmless, until the same rounding is applied to eight rooms and you are a full box of flooring short.

Square Footage Calculator worked example diagram
A visual read of the worked example above — the same numbers the calculator returns for its default inputs.

Rooms that are not rectangles

Very few real floors are a clean rectangle. The method does not change, it just runs more than once.

Split the plan into rectangles. Draw the room from above and cut it with straight lines until every piece is four-sided. An L-shaped living room becomes two rectangles. A room with a chimney breast becomes one big rectangle minus a small one.

Say the main body of a room is 14 ft × 12 ft with a 5 ft × 4 ft alcove off one side:

Subtract, don’t ignore. A stair opening, a fixed kitchen island or a fireplace hearth is floor you are not covering. Work out its area and take it off — a 3 ft × 6 ft hearth is 18 sq ft, which is a genuine box of tile.

Triangles are half a rectangle. For a slanted wall, the leftover triangle is . A 4 ft × 3 ft triangular corner adds 6 sq ft, not 12.

Circles use the radius. For a round area, . A 10-foot-diameter patio has a 5-foot radius, so sq ft.

Square feet conversion table

1 of thisequalsin square feet
square inch sq ft0.00694
square foot—1
square yard9 sq ft9
square metre10.7639 sq ft10.7639
roofing “square”100 sq ft100
acre43,560 sq ft43,560

Going the other way, one square foot is 144 square inches, 0.1111 square yards, 0.0929 square metres and 0.0000230 acres.

The roofing square is worth knowing if you are getting roof quotes — roofers price in squares of 100 sq ft, so a 2,400 sq ft roof is “24 squares” on the estimate.

Square inches to square feet

This conversion trips people up more than any other, so it deserves its own note. Divide square inches by 144, not by 12.

The reason is that both dimensions shrink at once. A square foot is 12 inches on each side, so it contains little one-inch squares. Dividing by 12 answers a different question entirely — it converts a length in inches to a length in feet.

A 30 in × 60 in countertop is 1,800 square inches, which is square feet. Divide by 12 by mistake and you get 150, which is more floor than most kitchens have.

The same logic scales up: square yards need a factor of 9 (3 × 3), and square metres a factor of 10.7639 (3.28084 × 3.28084).

Common room sizes

RoomSquare feet
8 × 1080
10 × 10100
10 × 12120
12 × 12144
12 × 14168
14 × 16224
16 × 20320
20 × 20400

A useful sanity check: a standard US bedroom lands between 100 and 200 sq ft, a primary bedroom between 200 and 350, and a two-car garage around 400 to 600. If your figure sits far outside the band for the kind of room you measured, you have probably mixed up feet and inches somewhere.

What the number is actually used for

Flooring. Boxes are sold by coverage in square feet. Take your figure, add 5 to 10 percent for straight-laid material and 15 percent or more for diagonal or herringbone, then round up to whole boxes.

Paint. Floor area is not what you need here — walls are. Add up the room’s perimeter, multiply by the ceiling height, and subtract roughly 20 sq ft per door and 15 per window. The paint coverage calculator does the gallons from there.

Landscaping materials. Mulch, gravel and topsoil are ordered by volume, which is square footage multiplied by depth. The mulch calculator and gravel calculator both start from the same area figure this page produces.

Property listings. Listed square footage usually means finished, heated living space measured to the outside of exterior walls, which is why a listing figure is larger than the sum of the rooms you can pace out. Unfinished basements, garages and open porches are normally excluded, though local convention varies.

Common mistakes

  • Multiplying feet by inches. 12 ft × 126 in is not an area anyone can use. Convert both to feet first.
  • Dividing square inches by 12. The factor is 144. See the section above.
  • Measuring at waist height. Walls lean, and the number that matters is the one at the floor.
  • Forgetting closets, alcoves and bays. They are floor. Measure them as separate rectangles and add them.
  • Rounding inches to tenths of a foot. 3 inches is 0.25 ft, not 0.3. The error compounds across rooms.
  • Counting a stair opening as floor. Anything you are not covering comes off the total.
  • Adding the waste allowance into the square footage. Keep the measured area clean, and apply waste at the ordering stage. Mixing them makes it impossible to reuse the figure for a different material later.

If your measurements came off the tape as fractions rather than decimals, the inches to feet converter handles the conversion on its own, and the fraction tools under the math section will turn something like inches into a decimal you can multiply.

About the formula: Square feet = Length × Width, with both measured in feet. Inches are converted to feet by dividing by 12 before multiplying.

Frequently Asked Questions

How do you calculate square feet of a room?+

Measure the length and the width in feet, then multiply them. A room 12 ft by 10 ft is square feet. If a measurement lands between whole feet, divide the leftover inches by 12 and add that on — 10 ft 6 in becomes 10.5 ft.

How many square feet is a 12x12 room?+

144 square feet, because . A 10 × 10 room is 100 sq ft, 12 × 14 is 168 sq ft, and 14 × 16 is 224 sq ft. Those four cover most bedrooms you will ever measure.

How do I convert square inches to square feet?+

Divide by 144. A square foot is 12 in by 12 in, so it holds square inches. Dividing by 12 instead is the single most common error in this calculation — that converts inches to feet, not square inches to square feet.

Is square footage just length times width?+

For a rectangle, yes. For any other shape you split the floor into rectangles, work each one out separately, and add the results. An L-shaped room is two rectangles; a room with a bay window is a rectangle plus a smaller one.

How do I measure the square footage of a room that isn't rectangular?+

Draw the floor plan, then cut it into rectangles with straight lines. Measure each rectangle, multiply length by width for each, and total them. Subtract any area that is genuinely missing, such as a stair opening or a kitchen island you are not flooring.

How many square feet are in a square yard?+

Nine. A yard is 3 feet, so a square yard is 3 ft × 3 ft = 9 sq ft. Carpet is often priced by the square yard, which is why a 128 sq ft room quotes as about 14.2 square yards.

Should I add a waste allowance to the square footage?+

Not to the square footage itself — keep that figure honest. Add the waste when you order material: usually 5 to 10 percent for flooring laid straight, and 15 percent or more for diagonal or herringbone patterns where offcuts are unusable.

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