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In parallelogram PQRS, QR is produced to M such that |QR| = |RM|. What fraction of the ...

In parallelogram PQRS, QR is produced to M such that |QR| = |RM|. What fraction of the area of PQMS is the area of PRMS?
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  • A \(\frac{1}{4}\)
  • B \(\frac{1}{3}\)
  • C \(\frac{2}{3}\)
  • D \(\frac{3}{4}\)
Correct Answer: Option C
Explanation:
There are 3 triangles: \(\bigtriangleup\)MRS, \(\bigtriangleup\) and \(\bigtriangleup\) PRQ
Area PRMS has 2 triangles: \(\bigtriangleup\) MRS and \(\bigtriangleup\) RSP
the fraction = \(\frac{2}{3}\)

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