A parallelogram has sides A, B, C, and D. Sides A and B have a length of #8 # and sides C and D have a length of # 3 #. If the angle between sides A and C is #(7 pi)/12 #, what is the area of the parallelogram?

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Answer 1 · 2018-02-05T12:05:04

The area of the parallelogram is #23.18 # sq.unit.

Adjacent sides of parallelogram is #A=8 and C=3#

The angle betwen #A and C# is #theta=(7pi)/12=(7*180)/12#

#:. theta=105^0# We know the area of the parallelogram as

#A_p=A*C*sin theta or A_p=8*3*sin105 ~~ 23.18# sq.unit.

The area of the parallelogram is #23.18 # sq.unit [Ans]