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

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Answer 1 · 2018-05-22T04:17:24

Area of parallelogram #color(maroon)(A_p = 2.3# sq units

Area of parallelogram #A_p = a b sin theta#

where a & b are the two pairs of parallel opposite sides and #theta# the included angle between sides A & C

Given # a = 2, b = 3, theta = pi/8#

#:. A_p = 2 * 3 * sin (pi/8)#

Area of parallelogram #color(maroon)(A_p = 2.3# sq units