No. One yard is a distance, square yard is the surface of a square that's one yard long and one yard wide.
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'One square yard' and 'a yard square' are the same thing. But that only works with 'one'. With any amount bigger or smaller than one, there is always a difference. Two square yards is definitely not the same thing as two yards square! Two square yards is 'one square yard' plus 'one square yard'. That's 2 sq. yds. A two yard square is an area that is two yards long and two yards wide. That's 4 sq. yds.
A square yard is larger. There are 9 square feet in each square yard.
100 square yards is the same as 83..6 square meters.
1 square yard = 0.836 square metres, approx.
9 square feet = 1 square yard. Hence 178 square feet = 178/9 square yard = 19.77 square yard.