Convert arpent to sao

Learn how to convert 1 arpent to sao step by step.

Calculation Breakdown

Set up the equation

1.0 (a r p e n t) = x (s a o)

Define the base values of the selected units in relation to the SI unit

(s q u a r e m e t e r)

Left side: 1.0 (a r p e n t) = 3418.74 (s q u a r e m e t e r) = 3418.74 (m^{2})

Right side: 1.0 (s a o) = 3.6 \times 10^{2} (s q u a r e m e t e r) = 3.6 \times 10^{2} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (a r p e n t) = x (s a o)

Insert known values =>

1.0 \times 3418.74 \times (s q u a r e m e t e r) = x \times 3.6 \times 10^{2} \times (s q u a r e m e t e r)

Or

1.0 \cdot 3418.74 \cdot (m^{2}) = x \cdot 3.6 \times 10^{2} \cdot (m^{2})

Cancel SI units

1.0 \times 3418.74 \cdot (m^{2}) = x \times 3.6 \times 10^{2} \times (m^{2})

Conversion Equation

3418.74 = x \times 3.6 \times 10^{2}

Switch sides

x \times 3.6 \times 10^{2} = 3418.74

Isolate

x

Multiply both sides by

(\frac{1.0}{3.6 \times 10^{2}})

x \times 3.6 \times 10^{2} \times \frac{1.0}{3.6 \times 10^{2}} = 3418.74 \times \frac{1.0}{3.6 \times 10^{2}}

Cancel

x \times 3.6 \times 10^{2} \times \frac{1.0}{3.6 \times 10^{2}} = 3418.74 \times \frac{1.0}{3.6 \times 10^{2}}

Simplify

x = \frac{3418.74}{3.6 \times 10^{2}}

Rewrite equation

\frac{1.0}{10^{2}} can be rewritten to 10^{- 2}

Rewrite

x = \frac{10^{- 2} \times 3418.74}{3.6}

Solve

x

x = 9.4965

Conversion Equation

1.0 (a r p e n t) = 9.4965 (s a o)

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