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
\(\frac{3}{4}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
There are 3 triangles: \(\bigtriangleup\)MRS, \(\bigtriangleup\) and \(\bigtriangleup\) PRQ
Area PRMS has 2 triangles: \(\bigtriangleup\) MRS and \(\bigtriangleup\) RSP
the fraction = \(\frac{2}{3}\)
Source: Myschool Past Questions Archive (Record #36986)