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: 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})