Excellent question - I recall, as I was going through elementary school, that we converted to the metric system in 1976 (or at least that was how I recall the "metric" curriculum being taught at the time). In fact, for a couple of years you could by gasoline by the litre at Shell stations in Texas.
Would America look different had we actually followed through? Probably, but not much. Squares and rectangles by and large have nothing to do with units of measure, since they are shapes, therefore I believe the organizing principles that the country was founded upon would still be evident, just the sizes would be different.
One must applaud our neighbors to the north - they did make the switch, and did so rather painlessly.
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Darrell Vickers AIA
Architect
The Wallace Group Inc
Waco TX
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