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 #(5 pi)/8 #, what is the area of the parallelogram?

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Answer 1 · 2017-12-12T08:05:36

Area of parallelogram is 13.858

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

Given length = l = 5, width = w = 3 and #/_ (BAD) = pi - (5pi)/8 = (3pi)/8#

#h = w * sin /_ (BAD) = 3 * sin (3)/8 = 2.7716#

Area of parallelogram = A = l * h = 5 * 2.7716 = 13.858#