In ΔABC and ΔPQR, ∠B = ∠Q, ∠C = ∠R. M is the midpoint on QR, If AB : PQ = 7 : 4, then $$\frac{{{\text{area}}\,\left( {\vartriangle ABC} \right)}}{{{\text{area}}\,\left( {\vartriangle PMR} \right)}}$$   is :

A. $$\frac{{35}}{8}$$

B. $$\frac{{35}}{{16}}$$

C. $$\frac{{49}}{{16}}$$

D. $$\frac{{49}}{8}$$

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & \frac{{{\text{area}}{\mkern 1mu} \left( {\vartriangle ABC} \right)}}{{{\text{area}}{\mkern 1mu} \left( {\vartriangle PMR} \right)}} \cr & = \frac{{{{\left( 7 \right)}^2}}}{{\frac{1}{2} \times {{\left( 4 \right)}^2}}} \cr & = \frac{{49}}{8} \cr} $$