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

Mathematics
WAEC 2014

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

  • A. \(\frac{1}{4}\)
  • B. \(\frac{1}{3}\)
  • C. \(\frac{2}{3}\)
  • D. \(\frac{3}{4}\)
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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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