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 # 2 #. If the angle between sides A and C is #pi/3 #, what is the area of the parallelogram?

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Answer 1 · 2018-01-14T07:23:38

#A_p = color(blue)(10.3923)# sq. units

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Area of parallelogram #A_p = A * h = A * C sin A#

Given : #A = 6, C = 2, /_theta = pi / 3#

#A_p = 6 * 2 * sin ((pi)/3) = 6 sqrt3 = color(blue)(10.3923)# sq. units