Answer:
42.5 square centimeters
Step-by-step explanation:
The area of the parallelogram is
[tex]A=a\cdot b\cdot \sin \alpha,[/tex]
where a and b are adjacent sides and [tex]\alpha[/tex] is inckuded angle.
In your case,
[tex]a=11\ cm\\ \\b=5\ cm\\ \\ \alpha=50^{\circ}6'[/tex]
Thus,
[tex]A=11\cdot 5\cdot \sin 50^{\circ}6'\approx 42.5\ cm^2[/tex]