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 # 8 #. If the angle between sides A and C is #(5 pi)/12 #, what is the area of the parallelogram?

Question

1223 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-10T10:18:58

area of the parallelogram is #color(blue)(38.637)#

enter image source here

Area of parallelogram #A_p = a * c * sin theta#

Given a = 5, c = 8, theta = (5pi)/12#

#A_p = 5 * 8 * sin ((5pi)/12) = color(blue)(38.637)#