A parallelogram has sides A, B, C, and D. Sides A and B have a length of #7 # and sides C and D have a length of # 5 #. 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 · 2018-01-25T08:56:48

Area of the parallelogram #color(green)(A_p = 33.8074#

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Given #b = 7, a = 5, /_A = /_C = theta = (7pi)/12#

Area of parallelogram = A_p = b * h = b * a * (sin theta)#

#:. color(green)(A_p) = 7 * 5 * sin ((7pi)/12) = color(green)(33.8074)#