Convert football field to square chain

Learn how to convert 1 football field to square chain 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 (s q u a r e c h a i n)

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 (f o o t b a l l f i e l d) = 5351.215104 (s q u a r e m e t e r) = 5351.215104 (m^{2})

Right side: 1.0 (s q u a r e c h a i n) = 4.0 \times 10^{2} (s q u a r e m e t e r) = 4.0 \times 10^{2} (m^{2})

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 (s q u a r e c h a i n)

Insert known values =>

1.0 \times 5351.215104 \times (s q u a r e m e t e r) = x \times 4.0 \times 10^{2} \times (s q u a r e m e t e r)

Or

1.0 \cdot 5351.215104 \cdot (m^{2}) = x \cdot 4.0 \times 10^{2} \cdot (m^{2})

Cancel SI units

1.0 \times 5351.215104 \cdot (m^{2}) = x \times 4.0 \times 10^{2} \times (m^{2})

Conversion Equation

5351.215104 = x \times 4.0 \times 10^{2}

Switch sides

x \times 4.0 \times 10^{2} = 5351.215104

Isolate

x

Multiply both sides by

(\frac{1.0}{4.0 \times 10^{2}})

x \times 4.0 \times 10^{2} \times \frac{1.0}{4.0 \times 10^{2}} = 5351.215104 \times \frac{1.0}{4.0 \times 10^{2}}

Cancel

x \times 4.0 \times 10^{2} \times \frac{1.0}{4.0 \times 10^{2}} = 5351.215104 \times \frac{1.0}{4.0 \times 10^{2}}

Simplify

x = \frac{5351.215104}{4.0 \times 10^{2}}

Rewrite equation

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

Rewrite

x = \frac{10^{- 2} \times 5351.215104}{4.0}

Solve

x

x = 13.37803776 \approx 13.378

Conversion Equation

1.0 (f o o t b a l l f i e l d) \approx 13.378 (s q u a r e c h a i n)

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