A parallelogram has sides A, B, C, and D. Sides A and B have a length of #1 # and sides C and D have a length of # 6 #. 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 · 2017-01-26T05:35:46

The area is #~=11.59#

The parallelogram is composed by two equal triangles.

Then you would get the area of each triangle and multiplicate it by 2.

The area of a single triangle is:

#Area_t=A*C*sin hat(AC)#

#=1*6*sin(7pi)/12~=5.8#

Then

#Area_p=2*Area_t~=11.59#