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. \(\frac{3}{4}\)
Correct Answer: C. \(\frac{2}{3}\)
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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