Convert football field to line

Learn how to convert 1 football field to line step by step.

Calculation Breakdown

Set up the equation

1.0 (f o o t b a l l f i e l d) = x (l i n e)

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

(m e t e r)

Left side: 1.0 (f o o t b a l l f i e l d) = 100.584 (m e t e r) = 100.584 (m)

Right side: 1.0 (l i n e) = \frac{2.11455}{999.0} (m e t e r) = \frac{2.11455}{999.0} (m)

Insert known values into the conversion equation to determine

x

1.0 (f o o t b a l l f i e l d) = x (l i n e)

Insert known values =>

1.0 \times 100.584 \times (m e t e r) = x \times \frac{2.11455}{999.0} \times (m e t e r)

Or

1.0 \cdot 100.584 \cdot (m) = x \cdot \frac{2.11455}{999.0} \cdot (m)

Cancel SI units

1.0 \times 100.584 \cdot (m) = x \times \frac{2.11455}{999.0} \times (m)

Conversion Equation

100.584 = x \times \frac{2.11455}{999.0}

Switch sides

x \times \frac{2.11455}{999.0} = 100.584

Isolate

x

Multiply both sides by

(\frac{999.0}{2.11455})

x \times \frac{2.11455}{999.0} \times \frac{999.0}{2.11455} = 100.584 \times \frac{999.0}{2.11455}

Cancel

x \times \frac{2.11455 \times 999.0}{999.0 \times 2.11455} = 100.584 \times \frac{999.0}{2.11455}

Simplify

x = \frac{100.584 \times 999.0}{2.11455}

Solve

x

x = 47520 = 4.752 \times 10^{4}

Conversion Equation

1.0 (f o o t b a l l f i e l d) = 4.752 \times 10^{4} (l i n e)

View All Examples