Area of Quadrilateral PQNM in Rectangle

XAT 2014 · QADI · Hard · Geometry

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Consider a rectangle ABCD of area 90 units. The points P and Q trisect AB, and R bisects CD. The diagonal AC intersects the line segments PR and QR at M and N respectively. What is the area of the quadrilateral PQNM?

  1. A.

    9.5 and ≤ 10

  2. B.

    10 and ≤ 10.5

  3. C.

    10.5 and ≤ 11

  4. D.

    11 and ≤ 11.5

  5. E.

    11.5

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