A parallelogram has sides A, B, C, and D. Sides A and B have a length of #3 # and sides C and D have a length of # 1 #. 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 · 2016-02-17T07:49:59

Area is #2.8977#

For this let us find the height #h# of the parallelogram, where #A# and #B# bigger sides are 3 units and #C# and #D# smaller sides are 1 unit.

As the angle is #7pi/12#, height of parallelogram with base say #A# will be given by

#h=C.sin((7pi)/12)# and as #C# is #1# and #h=sin((7pi)/12)=0.9659#

Hence area is #3*0.9659=2.8977#