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PQRS is a parallelogram in which PQ = (4x + 1) cm, QR = 26 cm, RS = 25 cm and PS = (3y - 1) cm. Then, the value of (3x + 2y) (in cm) is :

  • A.39
  • B.35
  • C.36
  • D.38

Answer: C

The value of \((3x + 2y)\) is 36.

Opposite sides of a parallelogram are equal, so PQ = RS and QR = PS:

\[ \begin{aligned} 4x + 1 &= 25 \Rightarrow x = 6 \\ 3y - 1 &= 26 \Rightarrow y = 9 \\ 3x + 2y &= 18 + 18 = 36 \end{aligned} \]

Pairing the wrong sides (PQ with QR, or PS with RS) gives fractional values and none of the other options.

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