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MathNet 2013 Question 30

Math Olympiad Vault · MathNet 2013

Question 30

Two segments drawn inside square $ABCD$ trisect the angle at $A$ and divide the square into two congruent triangles and a quadrilateral. What is the ratio of the quadrilateral's area to that of one triangle?
(A)$\sqrt3-1/\sqrt3$
(B)$2\sqrt3-1$
(C)$3/2$
(D)2
(E)$2\sqrt3-2$

Question illustration