TASK DEFINITION: You are given a geometric mathematical question. Questions in this task often involve shapes and Geometric Relationships. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge.
PROBLEM: In square \(ABCD\), vertex \(A\) is at (-1, -1) and vertex \(C\) is at (4, 2). What is the area of square \(ABCD\)?
(A)9 (B)15 (C)17 (D)25 (E)34

SOLUTION: C

PROBLEM: If the surface area of a cube is \(150x^2\), what is the volume of the cube?
(A)\(8x^3\) (B)\(27x^3\) (C)\(64x^3\) (D)\(125x^3\) (E)\(150x^3\)

SOLUTION: D

PROBLEM: Both \(\triangle { ABC } \) and \(\triangle { AED } \) are equilateral. If \(AD = \frac { 2 } { 3 } DC\), then the perimeter of \(\triangle { AED } \) is what fraction of the perimeter of \(\triangle { ABC } \)?
(A)\(\frac { 1 } { 3 } \) (B)\(\frac { 2 } { 5 } \) (C)\(\frac { 3 } { 5 } \) (D)\(\frac { 2 } { 3 } \) (E)\(\frac { 4 } { 5 } \)

SOLUTION:
B