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 # 4 #. If the angle between sides A and C is #(3 pi)/8 #, what is the area of the parallelogram?

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Answer 1 · 2017-12-12T08:09:32

Area of parallelogram is 14.782

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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 = 4 = 1 and #/_ (BAD) = pi - (3pi)/8 = (5pi)/8#

It’s a rhombus as l & w are equal.

#h = w * sin /_ (BAD) = 4 * sin (5pi)/8 = 3.6955#

Area of parallelogram = A = l * h = 4 * 3.6955 = 14.782#