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Stair Carpet Length and Budget

Estimate a continuous carpet strip for equal stair rises, tread runs, a landing and optional nosing.

  • Formula & worked example
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

In initial displayed units, Number of steps 10, Riser rise 20, Effective tread run 30, Landing depth 50, Stair width 100, Extra length 10, Extra width 10, Price of carpet 10 gives Carpet length 530, Carpet width 110, Carpet area 5.83, Carpet cost 58.3.

Length = steps×riser wrap+(steps−1)×tread run+landing+length allowance; area = length×(stair width+width allowance).

Worked example

Enter these known values and leave the other values blank.

Number of steps
10 steps
Riser rise
20 cm
Effective tread run
30 cm
Landing depth
50 cm
Stair width
100 cm
Extra length
10 cm
Extra width
10 cm
Price of carpet
10 USD / m²
Carpet length
530 cm
Carpet width
110 cm
Carpet area
5.83 m²
Carpet cost
58.3 USD

Assumptions and limitations

  • The strip covers N rises and N−1 treads plus the entered landing. Nosing wrap is idealized as rectangular, triangular or circular arcs; underlay, cutting layout and installation are excluded.
  • Use compatible measurement units. Clear an unknown before solving for it, and lock independent known values when comparing changes. Currency choices label amounts without exchange-rate conversion.

Common questions

Can I solve backward from the result?

Clear the unknown and enter independent known values. A rounded whole count cannot uniquely recover a continuous dimension; keep the original measured dimensions for procurement planning.

References

The calculation equations, inverse formulas, units, and input rules were imported from this source. Bookify provides the interface and equation solver.

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