Convert ell to arpent length

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

Calculation Breakdown

Set up the equation

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

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

(m e t e r)

Left side: 1.0 (e l l) = 1.143 (m e t e r) = 1.143 (m)

Right 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)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 1.143 \times (m e t e r) = x \times 58.5216 \times (m e t e r)

Or

1.0 \cdot 1.143 \cdot (m) = x \cdot 58.5216 \cdot (m)

Cancel SI units

1.0 \times 1.143 \cdot (m) = x \times 58.5216 \times (m)

Conversion Equation

1.143 = x \times 58.5216

Switch sides

x \times 58.5216 = 1.143

Isolate

x

Multiply both sides by

(\frac{1.0}{58.5216})

x \times 58.5216 \times \frac{1.0}{58.5216} = 1.143 \times \frac{1.0}{58.5216}

Cancel

x \times 58.5216 \times \frac{1.0}{58.5216} = 1.143 \times \frac{1.0}{58.5216}

Simplify

x = \frac{1.143}{58.5216}

Solve

x

x = 0.01953125 \approx 1.9531 \times 10^{- 2}

Conversion Equation

1.0 (e l l) \approx 1.9531 \times 10^{- 2} (a r p e n t l e n g t h)

View All Examples