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 # 4 #. If the angle between sides A and C is #(5 pi)/12 #, what is the area of the parallelogram?

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Answer 1 · 2018-05-19T15:56:29

Area of the parallelogram #color(purple)( = 23.18# sq units

Area of a parallelogram is given by the formula

#Area =a b sin theta#

Given : #a = 6, b = 4, theta = (5pi)/12#

#:. Area = 6 * 4 * sin ((5pi)/12)#

#color(purple)(Area = 23.18# sq units