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Guide

Square Footage of L-Shaped and Irregular Rooms

Split an L-shaped or irregular room into rectangles and triangles, add them up, and handle angled walls and bump-outs. Worked examples.

Updated · FloorFigures

Short answer

Split the room into rectangles and triangles that don't overlap, find each area (length × width for a rectangle, half of base × height for a triangle) and add them. Or take the rectangle that encloses the room and subtract the missing pieces. An 18' × 14' room with a 6' × 5' corner missing is 252 − 30 = 222 sq ft.

Every irregular room is a set of simple shapes. The skill is in choosing the split so each piece is easy to measure and nothing is counted twice. Below are the shapes you'll meet, each with worked numbers you can check against the square footage calculator.

How do you find the square footage of an L-shaped room?

There are two ways, and doing both is a good check. Add: split the L into two rectangles that only touch along a line, and add their areas. Subtract: take the rectangle that encloses the whole room and subtract the missing corner.

A: 18' × 9'162 sq ftB: 12' × 5'60 sq ftmissing6' × 5' = 3018'14'12'6'9'5'
Two ways, one answer: A + B = 162 + 60, or the 18' × 14' box minus the missing corner = 252 − 30. Both give 222 sq ft.
MethodPiecesMathArea
AddA: 18' × 9'18 × 9162 sq ft
B: 12' × 5'12 × 560 sq ft
162 + 60222 sq ft
SubtractBox: 18' × 14'18 × 14252 sq ft
Missing corner: 6' × 5'6 × 5− 30 sq ft
252 − 30222 sq ft

The missing dimensions come from the ones you have: the short leg of the L is 18 − 6 = 12 ft, and the deep part is 14 − 5 = 9 ft. If you measured walls in feet and inches, convert inches as twelfths (12'-6" is 12.5 ft, 12'-4" is 12.33 ft) before multiplying.

T-shaped and U-shaped rooms

Same idea with one more piece. A T-shaped great room with a 24' × 10' top bar and a 12' × 14' stem:

MethodMathArea
Add: bar + stem24 × 10 + 12 × 14 = 240 + 168408 sq ft
Subtract: box minus two corners24 × 24 − 2 × (6 × 14) = 576 − 168408 sq ft

A U-shape is a box minus the notch in the middle. Whatever the shape, draw the split on a sketch before you measure, so you know which lengths you need.

How do you handle an angled wall?

An angled wall across a corner cuts a triangle out of the rectangle. Its area is half of base × height, measured along the two square walls, not along the angled wall itself.

16' × 14' = 224− triangle 4 × 4 ÷ 2 = 8216 sq ft8 sq ft5'-8" wall12'4'14'16'4'10'
Measure the triangle along the square walls (4' and 4'), not along the 5'-8" angled wall.
PieceMathArea
Full rectangle16 × 14224 sq ft
Cut-off triangle4 × 4 ÷ 2− 8 sq ft
Room224 − 8216 sq ft

If you only know the angled wall's length, and it runs at 45°, each leg of the triangle is that length ÷ 1.414: a 5'-8" angled wall has legs of about 4 ft. When a whole side of the room is angled, the room is a trapezoid: average the two parallel walls and multiply by the distance between them. A room 12 ft wide whose side walls are 15 ft and 18 ft long is (15 + 18) ÷ 2 × 12 = 198 sq ft.

Bay windows

A bay that extends the floor is usually a trapezoid. Measure its width at the wall, its width at the front and its depth, then average the two widths and multiply by the depth.

Bay: 12 sq ftRoom: 14' × 12'168 sq ft4'8'14'2'12'
A 45° bay is a trapezoid: (8 + 4) ÷ 2 × 2 = 12 sq ft. Room total: 168 + 12 = 180 sq ft.
PieceMathArea
Room14 × 12168 sq ft
Bay (45°, 2' deep)(8 + 4) ÷ 2 × 212 sq ft
Total168 + 12180 sq ft

For a house's official square footage, ANSI Z765 counts a bay only if it has floor at that level; a window that projects from the wall above the floor is left out. See ANSI Z765.

Curved walls

Measure the room as if the curved wall were straight (along the chord, the straight line between its ends), then add the area of the curved part. For a half circle, that's π × r² ÷ 2: a bump with a 5 ft radius adds 39.3 sq ft. For a shallower arc, measure the chord and how far the curve bulges out from it (the rise):

Method, for a 10' chord with a 2' riseCurved partError
Ignore the curve0 sq ft−100%
2 straight segments (a triangle)10.0 sq ft−27%
4 straight segments12.8 sq ft−7%
8 straight segments13.5 sq ft−2%
Quick estimate: 2/3 × chord × rise13.3 sq ft−3%
Exact circle-segment formula13.75 sq ft0

The exact formula uses the radius: r = chord² ÷ (8 × rise) + rise ÷ 2, which is 7.25 ft here. The angle the arc spans is θ = 2 × asin(chord ÷ 2r), and the area is r² ÷ 2 × (θ − sin θ) with θ in radians. In practice the 2/3 estimate or eight segments is close enough: here the gap is under half a square foot.

Closets, bump-outs and alcoves

Treat each as its own rectangle and decide whether it belongs in the total. That depends on what the number is for.

PieceMathArea
Bedroom12 × 13156 sq ft
Reach-in closet2 × 612 sq ft
Window bump-out6 × 318 sq ft
Floor to cover156 + 12 + 18186 sq ft

Common mistakes

MistakeWhat happensFix
Overlapping rectanglesThe overlap is counted twiceSplit so pieces only touch along a line
Using the angled wall as a triangle sideTriangle too bigMeasure base and height along the square walls
Reading 12'-4" as 12.4 ftEvery room slightly too bigInches ÷ 12: 12'-4" is 12.33 ft
Treating a curve as straightArea too smallAdd the curved part, or use short segments
Mixing interior and exterior dimensionsPieces don't fit togetherMeasure one room the same way throughout

Doing it in FloorFigures

FloorFigures skips the splitting. It's free and runs in your browser. Open the plan, click inside the room (M), and the room finder traces it to the wall faces, however many corners it has. To draw one yourself, trace it corner by corner (N), typing exact wall lengths as you go, with a 45° lock for angled walls. The cutout tool subtracts areas such as a chimney or an opening. Curved walls are traced with short straight segments, which, as the table above shows, gets within about 2% of the curved part with eight of them.

Questions

How do you calculate the square footage of an L-shaped room?
Split the L into two rectangles that don't overlap, multiply length by width for each, and add them. Or take the rectangle that encloses the whole room and subtract the missing corner. An 18' × 14' room with a 6' × 5' corner missing is 18 × 9 + 12 × 5 = 162 + 60 = 222 sq ft, or 252 − 30 = 222 sq ft.
How do you find the square footage of a room with an angled wall?
Treat the angled part as a triangle: half of base × height, where the base and height are measured along the two square walls, not along the angled wall. A 16' × 14' room with one corner cut off 4' each way is 224 − (4 × 4 ÷ 2) = 224 − 8 = 216 sq ft. If one whole wall is angled, the room is a trapezoid: average the two parallel sides and multiply by the distance between them.
How do you calculate the area of a room with a curved wall?
Measure the straight part as usual and add the curved part separately. A half-circle bump with a 5 ft radius adds 3.1416 × 5 × 5 ÷ 2 = 39.3 sq ft. For a shallow curve, measure the straight chord across it and how far the curve bulges out; two-thirds of chord × bulge is a close estimate (10 ft × 2 ft gives 13.3 sq ft against an exact 13.75). Tracing the curve with eight or more short straight segments also gets within about 2% of the curved part.
Do closets count in a room's square footage?
It depends on why you're measuring. For flooring, include any closet that gets the same floor. Room sizes printed on plans and in listings usually describe the main room without its closet, though practice varies, so say what you included. For a house's total square footage, closets are inside the exterior walls and count automatically.
Does a bay window count as square footage?
Under ANSI Z765, the US standard for measuring houses, a bay window counts only if it has floor at that level. A bay that extends the room's floor is part of the room; a box or bay window that projects from the wall above floor level, with no floor beneath it, is excluded. For flooring, only a bay with floor needs material anyway.

Measure your own plan.

Open a PDF, image or photo of the plan. FloorFigures finds the scale and the rooms and does the math. $10 once, for life, and nothing is uploaded.

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