Convert arpent to square rod

Learn how to convert 1 arpent to square rod step by step.

Calculation Breakdown

Set up the equation

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

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 q u a r e r o d) = 25.29285264 (s q u a r e m e t e r) = 25.29285264 (m^{2})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 3418.74 \times (s q u a r e m e t e r) = x \times 25.29285264 \times (s q u a r e m e t e r)

Or

1.0 \cdot 3418.74 \cdot (m^{2}) = x \cdot 25.29285264 \cdot (m^{2})

Cancel SI units

1.0 \times 3418.74 \cdot (m^{2}) = x \times 25.29285264 \times (m^{2})

Conversion Equation

3418.74 = x \times 25.29285264

Switch sides

x \times 25.29285264 = 3418.74

Isolate

x

Multiply both sides by

(\frac{1.0}{25.29285264})

x \times 25.29285264 \times \frac{1.0}{25.29285264} = 3418.74 \times \frac{1.0}{25.29285264}

Cancel

x \times 25.29285264 \times \frac{1.0}{25.29285264} = 3418.74 \times \frac{1.0}{25.29285264}

Simplify

x = \frac{3418.74}{25.29285264}

Solve

x

x \approx 135.16624829 \approx 1.3517 \times 10^{2}

Conversion Equation

1.0 (a r p e n t) \approx 1.3517 \times 10^{2} (s q u a r e r o d)

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