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Sizes & Units

Linear Feet and Square Feet: The Width Is the Whole Conversion

Convert between linear feet and square feet at any width, and compare two materials priced in different units to see which is really cheaper.

ft²

The job, in square feet. Everything below turns this into lengths of the material and back again.

%

Cuts, offcuts and the board that splits. Ten per cent for a straight run and fifteen for anything with angles.

in

What the board actually covers once installed, not what it measures. A nominal 6 in board with a lap covers about 5.

$/ft

Per linear foot, which is how boards, trim and gutter are almost always quoted.

in

The wider alternative. Wider boards usually cost more a foot and less a square foot, and there are fewer of them to fix.

$/ft
ft

How the material is sold. It decides how many pieces to order and how much of each one ends up as offcut.

ft

The wall, fence or floor a single course has to cross. Used for the offcut waste at the end of every run.

Linear feet of A needed

1,056ft

Area over coverage. A 6 in board takes twice the length of a 8 in one — the narrower material is always more feet.

Area to buy including waste
528ft²

480 ft² plus 10%. Both options below are compared over the same job, which is the only fair way to compare them.

Area one linear foot of A covers
0.5ft²

Width over twelve. This single number is the entire conversion between the two units — without it, "square feet to linear feet" has no answer at all.

And one linear foot of B
0.6667ft²
Linear feet of B needed
792ft
Option A per square foot
$4.80

Price per foot divided by what a foot covers. This is the figure that compares two quotes, and it is almost never the one on the shelf label.

Option B per square foot
$4.50
Option A for the whole job
$2,534.40
Option B for the whole job
$2,376.00
Is the wider option cheaper
1

1 means B wins despite costing more a foot, which is the usual outcome and the reason the comparison exists. The dearer board is frequently the cheaper wall.

Difference between them
$158.40

On this job. It is the same material and the same wall — only the unit the price was quoted in has changed.

That difference as a share
6.3%
Pieces of A to buy
88

At 12 ft a piece. Ordering by the piece rather than by the foot is what actually happens at the counter.

Pieces of B to buy
66

Fewer pieces, and fewer joints to make and fasten. That labour never appears in a price per foot and is often larger than the difference in material.

Courses of A across the job
66

How many rows a 16 ft run takes. Each one is a line the eye follows, so the width is a design decision as much as a cost one.

Courses of B
50
Pieces to cross one run
2

A 16 ft wall in 12 ft stock. Choosing a stock length that divides the run cleanly is worth more than any price per foot — a 16 ft run in 12 ft boards leaves two thirds of every second piece on the floor.

Offcut left at the end of each run
8ft

Usable on the next course if it is long enough, scrap if it is not. This is where the waste allowance above actually goes.

Option A in metres
321.9m

Outside North America the same material is quoted by the metre, and the same trap applies to the width.

How to use this calculator

  1. Enter your job size in square feet under Area to cover, then choose a Waste allowance percentage to account for cuts and split boards.
  2. Input the face width of your first material under Option A face width and its cost per linear foot in Option A price.
  3. Add the alternative material's dimensions in Option B face width and its quote under Option B price.
  4. Specify how the material is sold by entering Length each piece comes in and the Length of one run to calculate offcuts accurately.

Understanding linear feet and square feet

When buying timber, trim, fencing, or siding, merchants almost always quote prices by the linear foot rather than the square foot. This creates a perennial purchasing puzzle for builders and homeowners alike. If you are comparing two materials of different widths, simply looking at the sticker price tells you nothing about which one is actually cheaper. A wider board always costs more per linear foot simply because it contains more material, but it usually costs less per square foot because it requires fewer pieces and less installation labor to cover the same surface area. To solve this dilemma, a reliable price per linear foot calculator acts as an essential translator between one-dimensional lengths and two-dimensional areas.

The fundamental mathematical relationship hinges entirely on the face width of the material. When you want to convert sq ft to lf, you must divide your total coverage area by the width of the board expressed in feet. Because material widths are almost universally sold and measured in inches, that means dividing the face width by twelve first. This simple division creates a conversion factor. One linear foot of a six-inch nominal board with a tongue-and-groove lap covers roughly five inches of actual face width, which equals roughly 0.417 square feet of coverage per running foot. Neglecting this distinction between nominal dimensions and actual face coverage is the single most common reason people end up short on material or over budget.

Comparing materials with different widths and prices

Evaluating two competing quotes requires looking past the initial sticker price. Suppose you are weighing a narrow cedar siding plank against a wider profile. Option A might be quoted at $2.50 per linear foot for a four-inch face, while Option B is quoted at $3.80 per linear foot for a seven-inch face. To find the true cost per linear foot equivalent in area, you divide the price by the fractional foot of coverage. Option A delivers roughly three square feet of coverage for every twelve dollars spent, whereas the wider Option B might deliver superior area value despite its higher initial price tag.

The comparison becomes even more nuanced when you factor in linear feet to square feet conversions for the entire job. A wider board requires fewer total courses to scale a wall or floor, which translates into fewer joint lines and faster installation times. However, narrower boards sometimes allow for tighter nesting and fewer long offcuts when working around complex architectural features like windows, doors, and dormers. Evaluating the true value means calculating both the total material needed and the final cost for the whole job, rather than relying on face-value linear pricing.

Nominal WidthActual Face WidthCoverage per LFTypical Application
4 inches3.5 inches0.292 sq ftTongue-and-groove paneling, narrow flooring
6 inches5.5 inches0.458 sq ftStandard siding, decking, fencing boards
8 inches7.25 inches0.604 sq ftWide-plank flooring, board-and-batten siding
10 inches9.25 inches0.771 sq ftFascia boards, wide exterior trim

Accounting for waste, offcuts, and stock lengths

No installation project goes together without generating scraps. Whether you are laying hardwood flooring or building a privacy fence, you must add a waste allowance to your baseline measurements. A straight, simple run with minimal obstacles generally requires a ten percent waste buffer, while complex layouts featuring angled cuts, bay windows, or stairwells demand fifteen percent or more. This buffer accounts for the board that splits during nailing, the imperfect end grain, and the unusable remnants left at terminations.

Furthermore, materials do not come in infinite custom lengths; they arrive in standardized bundles determined by the manufacturer, such as eight, ten, twelve, or sixteen-foot sticks. When calculating how to calculate linear feet for an order, you must account for these stock limits. If a single run measures fourteen feet and your stock length is twelve feet, you must buy two boards and accept a ten-foot offcut from the second piece. By dividing your total required linear feet by the stock length and rounding up to the nearest whole piece, you determine the exact number of sticks to order without leaving your project short.

Where a price per linear foot calculator goes wrong

Even the best calculation cannot compensate for inaccurate field measurements. A linear foot vs square foot discrepancy often arises when builders measure the footprint of a room or wall without subtracting openings like sliding glass doors or large stone fireplaces. Always input the net area you actually intend to cover rather than the gross exterior dimensions of the building. If your framing is uneven, or if your walls are out of square, your actual waste percentage will naturally exceed standard estimates.

When dealing with high-end exotic hardwoods, imported trim, or custom architectural millwork, small calculation errors carry heavy financial penalties. If the pricing difference between your two options is negligible—say, less than two percent—base your final purchasing decision on material stability, aesthetic grain pattern, and ease of installation rather than raw arithmetic alone. Consult an experienced general contractor or finish carpenter before placing a large commercial order if your structural layout involves unusual radiuses, custom bends, or structural load-bearing constraints.

The formula

linear feet = square feet ÷ (face width in inches ÷ 12) — the width is the conversionprice per square foot = price per linear foot ÷ (width ÷ 12)a wider board is more per foot and usually less per square footpieces = linear feet ÷ stock length, rounded up, and the remainder is offcut

Frequently asked questions

What is the difference between a linear foot and a square foot?

A linear foot measures length in a single straight line, regardless of how wide the material is. A square foot measures a two-dimensional area calculated by multiplying length by width. To convert between them, you must divide the square footage by the actual face width of the material expressed in feet.

Why do wider boards usually cost more per linear foot?

Wider boards command a higher price per linear foot because they require larger, more mature trees to mill. However, they typically offer a lower cost per square foot because fewer total pieces are needed to cover the same surface area, which also reduces overall installation labor.

How much waste allowance should I add to my material order?

For a standard rectangular room or a straight fence line with few obstacles, a ten percent waste allowance is usually sufficient to cover end cuts and minor errors. If your layout features diagonal patterns, complex angles, or multiple architectural cutouts, you should increase your waste allowance to fifteen percent.

What happens to the offcuts left at the end of a run?

Offcuts are the unusable or leftover pieces of material generated when a stock board is cut to finish a specific run length. Depending on your installation pattern, some of these offcuts can be salvaged and reused on subsequent rows, while shorter pieces end up as jobsite debris.

Should I use nominal width or actual face width for my calculations?

You must always use the actual face width of the material once it is installed, not its nominal lumberyard designation. For example, a nominal six-inch decking board typically covers only five and a half inches of actual surface once the gaps or laps are factored in.

Sources

Last reviewed . Results are for general guidance and are not professional advice.