What is the area of a rectangular garden?

✓ Correct Answer: Option C

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 + W^2 + 2LW => 17^2 = 169 + 2LW => 289 = 169 + 2LW => 2LW = 120 => LW = 60. Sufficient.