Answer:
Option A
Step-by-step explanation:
When adjacent sides and angle between the adjacent sides are given, then,
[tex]\sf \boxed{\text{\bf Area of Parallelogram = a*b * $Sin \ \theta$}}[/tex]
Here, a and b are the adjacent sides and [tex]\sf \theta[/tex] is the angle between them.
a = 16 cm ; b = 30 cm ; [tex]\sf \theta = 45^\circ[/tex]
Area of parallelogram = 16 * 30 * Sin 45
[tex]\sf = 16 * 30 * \dfrac{\sqrt{2}}{2}\\\\= 8*30*\sqrt{2}\\\\= 240\sqrt{2} \ sq.cm[/tex]