Let ABCD be a square and let P be point on segment CD such that D P: P C=1: 2 . Let Q be a point on segment AP such that BQP =90^ . Then the ratio of the area of quadrilateral PQBC to the area of the square ABCD is

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Correct answer: D. 41 60 3

CP = 2 3 a PD = a 3 Let PAD = = 1 3 (In . APD ) Now, DAP = QBA = Required ratio = area of P Q B C a² = a²-( area of A D P+ area of A Q B) a² 1- ( 1 6 + 3 20 )= 41 60

Let ABCD be a square and let P be point on segment CD such that D P: P C=1: 2 . Let Q be a point on segment AP such that BQP =90^ . Then the ratio of the area of quadrilateral PQBC to the area of the square ABCD is

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