Area
From the linear factor
The same calculation written from the length factor. Square it first, then multiply; skipping the square is the classic error.
The Formula
m2 = sq ft x 0.3048^2
The same calculation written from the length factor. Square it first, then multiply; skipping the square is the classic error.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| 0.3048 | Metres in one foot | metres per foot | The linear factor, exact by definition. It must be squared for an area. |
| sq ft | Area in square feet | square feet | Two dimensions are present, which is why the factor is squared. |
| m2 | Area in square metres | square metres | 0.3048^2 = 0.09290304, so both forms of the formula agree. |
What Each Symbol Means
0.3048metres per foot
Metres in one foot
The linear factor, exact by definition. It must be squared for an area.
sq ftsquare feet
Area in square feet
Two dimensions are present, which is why the factor is squared.
m2square metres
Area in square metres
0.3048^2 = 0.09290304, so both forms of the formula agree.
See It Worked With Real Numbers
A formula on its own does not tell you which number goes where. The how to convert square feet to square meters page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.
Where This Formula Appears
This equation is the working core of How To Convert Square Feet To Square Meters, filed under Unit Conversion. Every number the guide produces comes from substituting into this one line.