1. Yes. (Though I don't understand the sentence as a whole.
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Mr Wordy The idiom "of <adj> <noun>" doesn't require it: "of soun
English 1b3I didn't really think of this as being an idiom...Well, by that I just mean "standard pattern of words".
Mr WordyWell, by that I just mean "standard pattern of words".
Mr WordyThe idiom "of <adj> <noun>" doesn't require it: "of sound mind", "of easy virtue", "of dull nature". I don't see why the presence of adverb "too" should alter this, so I suspect any perception that "a" is necessary may be due to confusion with expressions like "has too sound a body".
English 1b3Come to think about it, "He is of a strong build" would be perhaps more common than the example without the article, would it not?Yes, that sounds reasonable. (In my earlier reply I was only addressing the possibility of "a" placed between the adjective and the noun.)