A parallelogram has sides A, B, C, and D. Sides A and B have a length of #8 # and sides C and D have a length of # 7 #. 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 · 2017-12-12T08:18:47

Area of parallelogram is 54.792

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Area of a parallelogram #= l * h# where l is the length and h is the height

Given length = l = 8, width = w = 7 and #/_ (BAD) = pi - (7pi)/12 = (5pi)/12#

#h = w * sin /_ (BAD) = 7 * sin (5pi)/12 = 6.7615#

Area of parallelogram = A = l * h = 8 * 6.7615 = 54.092#