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

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Answer 1 · 2016-05-17T11:46:42

Area of parallelogram is #9.659#

Area of a parallelogram is given by #axxbxxsintheta#,

where #a# and #b# are two sides of a parallelogram and #theta# is the angle included between them.

As sides are #5# and #2# and included angle is #(5pi)/12# we have

#Area=5xx2xxsin(5pi)/12=10xx0.9659=9.659#