Convert square meter to acre
Learn how to convert
1
square meter to
acre
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(square \text{ } meter\right)={\color{rgb(20,165,174)} x}\left(acre\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(square \text{ } meter\right) = {\color{rgb(89,182,91)} 1.0\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} 1.0\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(acre\right) = {\color{rgb(125,164,120)} 4046.8564224\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 4046.8564224\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(square \text{ } meter\right)={\color{rgb(20,165,174)} x}\left(acre\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 4046.8564224}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 4046.8564224} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 4046.8564224} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 4046.8564224\)
\(\text{Simplify}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 4046.8564224\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 4046.8564224 = 1.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{4046.8564224}\right)\)
\({\color{rgb(20,165,174)} x} \times 4046.8564224 \times \dfrac{1.0}{4046.8564224} = 1.0 \times \dfrac{1.0}{4046.8564224}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{4046.8564224}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{4046.8564224}}} = 1.0 \times \dfrac{1.0}{4046.8564224}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.0}{4046.8564224}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0002471054\approx2.4711 \times 10^{-4}\)
\(\text{Conversion Equation}\)
\(1.0\left(square \text{ } meter\right)\approx{\color{rgb(20,165,174)} 2.4711 \times 10^{-4}}\left(acre\right)\)
