What is the length of the side of square S?

The correct answer to the question "What is the length of the side of square S?" is Option D: EACH statement ALONE is sufficient..

The other options — A) Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient., B) Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient., C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. — are incorrect for this GMAT Exam Prep question. As explained above: Let 's' be the side length. (1) Diagonal = s√2. If 5√2 = s√2, then s = 5. (2) Area = s². If 25 = s², then s = 5 (since length must be positive). Both statements alone are sufficient.