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Fuel Consumption Calculator - length/volume ratio

In Europe fuel consumption of automobiles is measured in litres/100 km. Litres are a measure of VOLUME; Kilometers are a measure of length. Therefore, litres/100 km is a measure of AREA. In the US fuel consumption of vehicles is measured in miles/gallon. Gallons are a measure of VOLUME; Miles are a measure of length. Therefore, miles/gallon is a measure of 1/AREA. What is the significance of this AREA?