A parallelogram has sides A, B, C, and D. Sides A and B have a length of #4 # and sides C and D have a length of # 3 #. If the angle between sides A and C is #(3 pi)/4 #, what is the area of the parallelogram?

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Answer 1 · 2017-12-12T08:21:57

Area of parallelogram is 8.4852

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

Given length = l = 4, width = w = 3 and #/_ (BAD) = pi - ((3pi)/4 )= ( pi)/4#

#h = w * sin /_ (BAD) = 3 * sin (pi)/4 = 2.1213#

Area of parallelogram = A = l * h = 4 * 2.1213 = 8.4852#