Convert football field to are

Learn how to convert 1 football field to are 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 (a r e)

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) = 8.15 \times 10^{3} (s q u a r e m e t e r) = 8.15 \times 10^{3} (m^{2})

Right side: 1.0 (a r e) = 10^{2} (s q u a r e m e t e r) = 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 (a r e)

Insert known values =>

1.0 \times 8.15 \times 10^{3} \times (s q u a r e m e t e r) = x \times 10^{2} \times (s q u a r e m e t e r)

Or

1.0 \cdot 8.15 \times 10^{3} \cdot (m^{2}) = x \cdot 10^{2} \cdot (m^{2})

Cancel SI units

1.0 \times 8.15 \times 10^{3} \cdot (m^{2}) = x \times 10^{2} \times (m^{2})

Conversion Equation

8.15 \times 10^{3} = x \times 10^{2}

Cancel factors on both sides

Cancel factors

8.15 \times {10^{3}}^{10} = x \times 10^{2}

Simplify

8.15 \times 10.0 = x

Switch sides

x = 8.15 \times 10.0

Solve

x

x = 81.5

Conversion Equation

1.0 (f o o t b a l l f i e l d) = 81.5 (a r e)

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