# Convert are to carreau

Learn how to convert 1 are to carreau step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(are\right)={\color{rgb(20,165,174)} x}\left(carreau\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(square \text{ } meter\right)$$
$$\text{Left side: 1.0 } \left(are\right) = {\color{rgb(89,182,91)} 10^{2}\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} 10^{2}\left(m^{2}\right)}$$
$$\text{Right side: 1.0 } \left(carreau\right) = {\color{rgb(125,164,120)} 1.29 \times 10^{4}\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 1.29 \times 10^{4}\left(m^{2}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(are\right)={\color{rgb(20,165,174)} x}\left(carreau\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 10^{2}} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.29 \times 10^{4}}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 10^{2}} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.29 \times 10^{4}} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 10^{2}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.29 \times 10^{4}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}$$
$$\text{Conversion Equation}$$
$$10^{2} = {\color{rgb(20,165,174)} x} \times 1.29 \times 10^{4}$$
Cancel factors on both sides
$$\text{Cancel factors}$$
$${\color{rgb(255,204,153)} \cancel{10^{2}}} = {\color{rgb(20,165,174)} x} \times 1.29 \times {\color{rgb(255,204,153)} \cancelto{10^{2}}{10^{4}}}$$
$$\text{Simplify}$$
$$1.0 = {\color{rgb(20,165,174)} x} \times 1.29 \times 10^{2}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 1.29 \times 10^{2} = 1.0$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{1.29 \times 10^{2}}\right)$$
$${\color{rgb(20,165,174)} x} \times 1.29 \times 10^{2} \times \dfrac{1.0}{1.29 \times 10^{2}} = \times \dfrac{1.0}{1.29 \times 10^{2}}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{1.29}} \times {\color{rgb(99,194,222)} \cancel{10^{2}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{1.29}} \times {\color{rgb(99,194,222)} \cancel{10^{2}}}} = \dfrac{1.0}{1.29 \times 10^{2}}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{1.0}{1.29 \times 10^{2}}$$
Rewrite equation
$$\dfrac{1.0}{10^{2}}\text{ can be rewritten to }10^{-2}$$
$$\text{Rewrite}$$
$${\color{rgb(20,165,174)} x} = \dfrac{10^{-2}}{1.29}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx0.007751938\approx7.7519 \times 10^{-3}$$
$$\text{Conversion Equation}$$
$$1.0\left(are\right)\approx{\color{rgb(20,165,174)} 7.7519 \times 10^{-3}}\left(carreau\right)$$