Picture the sizes as literal squares. Start with a square one meter on each side—that’s one square meter. Divide it into thirds both horizontally *and* vertically, so you have three columns and three rows. Each row or column has three squares that are a foot on each side—ergo, nine square feet inside one square meter.
You’re dividing by three twice, once for length and once for height, hence the 1/9th instead of 1/3rd.
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Yes a square meter is technically 10.7639 square feet, not nine, but that’s beside the point being made here.
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