A parallelogram has sides A, B, C, and D. Sides A and B have a length of #3 # and sides C and D have a length of # 8 #. If the angle between sides A and C is #(3 pi)/4 #, what is the area of the parallelogram?

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Answer 1 · 2016-05-11T10:21:53

Area of parallelogram is #16.9704#

If #a# and #b# are sides of a parallelogram and included angle is #theta#,

then area of the parallelogram is given by #axxbxxsintheta#

As #a=3#, #b=8# and #theta=(3pi)/4#

Area of parallelogram is

#3xx8xxsin(3pi)/4=24xx1/sqrt2=12xxsqrt2=12xx1.4142=16.9704#