A parallelogram has sides A, B, C, and D. Sides A and B have a length of #6 # and sides C and D have a length of # 3 #. If the angle between sides A and C is #(3 pi)/8 #, what is the area of the parallelogram?

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Answer 1 · 2018-05-01T11:51:30

The area of the parallelogram is # 16.63 # sq.unit.

The adjacent sides of the parallelogram are #s_1=6# unit and

#s_2=3# unit and angle between them #theta =(3 pi)/8# or

#theta=(3 *180)/8 =67.5^0# We know the area of the

parallelogram as #A_p=s_1*s_2*sin theta # or

#A_p=6* 3 *sin 67.5 ~~ 16.63 # sq.unit.

The area of the parallelogram is # 16.63 # sq.unit.[Ans]