The area is not sufficient information to determine the dimensions.First of all, there is no reason to suppose that the area is rectangular as opposed to circular or triangular or some other simple or complicated shape. Even if you assume that it is a rectangle, there are infinitely many possible answers: ranging from nearly square areas to extremely long and thin strips.
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The dimensions are square feet or [Length2]
1,742 square feet = 193.55 square yards.
Any dimensions you like - so long as the area remains 500 square feet !
what are the dimensions for 6 square feet?
169 square feet. Multiply the two dimensions - the result is the number of square feet.