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      Question

      In the figure given below, PQRS is a parallelogram in

      which PN and PM are perpendicular to QR and RS, respectively. If RS = 81 cm, PM = 42 cm and PN = 56 cm, then find the value of QR.
      A 60.75 cm Correct Answer Incorrect Answer
      B 70 cm Correct Answer Incorrect Answer
      C 62.5 cm Correct Answer Incorrect Answer
      D None of these Correct Answer Incorrect Answer

      Solution

      Area of parallelogram = base X (height of the corresponding altitude)So, RS X PM = QR X PNOr, 81 X 42 = QR X 56Or, QR = (3,402/56) = 60.75 cm

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