[tex]360^o-150^o=210^o\\\\\dfrac{210^o}{360^o}=\dfrac{7}{12}[/tex]
[tex]P_{LQM}=\dfrac{7}{12}\cdot2\pi\cdot14=\dfrac{7}{3}\pi\cdot7=\dfrac{49\pi}{3}\ cm[/tex]
[tex]P_{QRP}=\dfrac{1}{2}\cdot14\pi=7\pi\ cm[/tex]
[tex]P_F=\dfrac{49\pi}{3}+7\pi+3\cdot14\approx\dfrac{49}{3}\cdot\dfrac{22}{7}+7\cdot\dfrac{22}{7}+42=166\dfrac{2}{3}\ cm^2[/tex]