What is the area of a rectangular garden?

The correct answer to the question "What is the area of a rectangular garden?" is Option C: BOTH statements TOGETHER are sufficient, but NEITHER 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., D) BOTH statements TOGETHER are NOT sufficient, and NEITHER statement ALONE is sufficient. — are incorrect for this GMAT Exam Prep question. As explained above: Let length be L, width be W. Area = LW. (1) Diagonal^2 = L^2 + W^2 = 13^2 = 169. Not sufficient (many combinations). (2) Perimeter = 2(L+W) = 34, so L+W = 17. Not sufficient. (1)+(2): (L+W)^2 = L^2 +…