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.
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Question: Right triangle A has base b, height h, and area x. Rectangle B has length 2b and width 2h. What is the area of rectangle B in terms of x ?
(A)2x (B)4x (C)6x (D)7x (E)8x

Answer: E


Question: In square PQRS, point T is the midpoint of side \(\overline { QR } \). If the area of PQRS is 3, what is the area of quadrilateral PQTS ?
(A)\(\frac { 3 } { 2 } \) (B)2 (C)\(\frac { 9 } { 4 } \) (D)\(\frac { 3 \sqrt { 3 } } { 2 } \) (E)\(2 \sqrt { 3 } \)

Answer: C


Question: If A (2, -1) and B (4, 7) are the endpoints of a diameter of a circle, what is the area of the circle?
(A)\(16\pi\) (B)\(17\pi\) (C)\(18\pi\) (D)\(144\pi\) (E)\(1156\pi\)

Answer:
B