Convert arpent length to ridge

Learn how to convert 1 arpent length to ridge step by step.

Calculation Breakdown

Set up the equation

1.0 (a r p e n t l e n g t h) = x (r i d g e)

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

(m e t e r)

Left side: 1.0 (a r p e n t l e n g t h) = 58.5216 (m e t e r) = 58.5216 (m)

Right side: 1.0 (r i d g e) = 6.1722 (m e t e r) = 6.1722 (m)

Insert known values into the conversion equation to determine

x

1.0 (a r p e n t l e n g t h) = x (r i d g e)

Insert known values =>

1.0 \times 58.5216 \times (m e t e r) = x \times 6.1722 \times (m e t e r)

Or

1.0 \cdot 58.5216 \cdot (m) = x \cdot 6.1722 \cdot (m)

Cancel SI units

1.0 \times 58.5216 \cdot (m) = x \times 6.1722 \times (m)

Conversion Equation

58.5216 = x \times 6.1722

Switch sides

x \times 6.1722 = 58.5216

Isolate

x

Multiply both sides by

(\frac{1.0}{6.1722})

x \times 6.1722 \times \frac{1.0}{6.1722} = 58.5216 \times \frac{1.0}{6.1722}

Cancel

x \times 6.1722 \times \frac{1.0}{6.1722} = 58.5216 \times \frac{1.0}{6.1722}

Simplify

x = \frac{58.5216}{6.1722}

Solve

x

x \approx 9.4814814815 \approx 9.4815

Conversion Equation

1.0 (a r p e n t l e n g t h) \approx 9.4815 (r i d g e)

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