Q 32. If the length of the adjacent sides of a parallelogram is 16 cm and 30 cm, and the angle between them is 45°, then find
the area of the parallelogram.
Ops: A. 0240,2 sq.cm
B. 022542 sq.cm
C. 0270,2 sq.cm
D. 0180/2 sq.cm

Respuesta :

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]

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