Convert qing(顷) to lane meter

Learn how to convert 1 qing(顷) to lane meter step by step.

Calculation Breakdown

Set up the equation

\(1.0\left(qing(顷)\right)={\color{rgb(20,165,174)} x}\left(lane \text{ } meter\right)\)

Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)

\(\text{Left side: 1.0 } \left(qing(顷)\right) = {\color{rgb(89,182,91)} \dfrac{2.0 \times 10^{5}}{3.0}\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} \dfrac{2.0 \times 10^{5}}{3.0}\left(m^{2}\right)}\)

\(\text{Right side: 1.0 } \left(lane \text{ } meter\right) = {\color{rgb(125,164,120)} 2.0\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 2.0\left(m^{2}\right)}\)

Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)

\(1.0\left(qing(顷)\right)={\color{rgb(20,165,174)} x}\left(lane \text{ } meter\right)\)

\(\text{Insert known values } =>\)

\(1.0 \times {\color{rgb(89,182,91)} \dfrac{2.0 \times 10^{5}}{3.0}} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 2.0}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)

\(\text{Or}\)

\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{2.0 \times 10^{5}}{3.0}} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 2.0} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)

\(\text{Cancel SI units}\)

\(1.0 \times {\color{rgb(89,182,91)} \dfrac{2.0 \times 10^{5}}{3.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 2.0} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)

\(\text{Conversion Equation}\)

\(\dfrac{2.0 \times 10^{5}}{3.0} = {\color{rgb(20,165,174)} x} \times 2.0\)

Cancel factors on both sides

\(\text{Cancel factors}\)

\(\dfrac{{\color{rgb(255,204,153)} \cancel{2.0}} \times 10^{5}}{3.0} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{2.0}}\)

\(\text{Simplify}\)

\(\dfrac{10^{5}}{3.0} = {\color{rgb(20,165,174)} x}\)

Switch sides

\({\color{rgb(20,165,174)} x} = \dfrac{10^{5}}{3.0}\)

Solve \({\color{rgb(20,165,174)} x}\)

\({\color{rgb(20,165,174)} x}\approx33333.333333\approx3.3333 \times 10^{4}\)

\(\text{Conversion Equation}\)