A parallelogram has sides A, B, C, and D. Sides A and B have a length of #5 # and sides C and D have a length of # 3 #. If the angle between sides A and C is #pi/6 #, what is the area of the parallelogram?

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Answer 1 · 2016-09-08T10:05:23

#15/2=7.5#

Area of parallelogram = #b xx h #
b= base, h = height
#pi/6=30^@#

#h= 3 sin30 = 3xx 1/2 = 3/2#

#area = 5 xx 3/2 = 15/2 = 7.5 #