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

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Answer 1 · 2016-03-01T09:04:27

# ~~ 5.18#

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The area of the parallelogram is #A = Base*Height#
To calculate the height use #h/C = sin(pi/12)#
#h = 4sin(pi/12)#

#A = 5*4sin(pi/12) ~~20*0.259 ~~ 5.18#