The physical quantity is simply called area. The official unit (in SI) is the square meter.
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the physical quantity is distance and unit is meters
Yes, it is a physical quantity (Fundamental)
Such a physical quantity is a vector.
Yes, area is a derived quantity.
No, the noun 'ream' is a concrete noun, a word for a quantity of 500 sheets of paper (a physical count), or a large quantity of something (a physical quantity).