A parallelogram has sides A, B, C, and D. Sides A and B have a length of #2 # and sides C and D have a length of # 5 #. If the angle between sides A and C is #(7 pi)/18 #, what is the area of the parallelogram?

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Answer 1 · 2018-02-04T01:05:40

Area of parallelogram #A_p = color(red)(9.3969)#

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

Given : l = 5, width w = 2# and angle between A & C = (7pi) / 18

#h = w * sin theta = 2 * ((7pi) / 18) =1.8794#

#A_p = l * h = 5 * 1.8794 = 9.3969#