Convert tsubo(坪) to are
Learn how to convert
1
tsubo(坪) to
are
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(tsubo(坪)\right)={\color{rgb(20,165,174)} x}\left(are\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(tsubo(坪)\right) = {\color{rgb(89,182,91)} \dfrac{4.0 \times 10^{2}}{121.0}\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} \dfrac{4.0 \times 10^{2}}{121.0}\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(are\right) = {\color{rgb(125,164,120)} 10^{2}\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 10^{2}\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(tsubo(坪)\right)={\color{rgb(20,165,174)} x}\left(are\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{4.0 \times 10^{2}}{121.0}} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{2}}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{4.0 \times 10^{2}}{121.0}} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{2}} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{4.0 \times 10^{2}}{121.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{2}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{4.0 \times 10^{2}}{121.0} = {\color{rgb(20,165,174)} x} \times 10^{2}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(\dfrac{4.0 \times {\color{rgb(255,204,153)} \cancel{10^{2}}}}{121.0} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{2}}}\)
\(\text{Simplify}\)
\(\dfrac{4.0}{121.0} = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = \dfrac{4.0}{121.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0330578512\approx3.3058 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(tsubo(坪)\right)\approx{\color{rgb(20,165,174)} 3.3058 \times 10^{-2}}\left(are\right)\)
