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

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Answer 1 · 2016-02-14T14:21:44

Area#" " ~=29.56 " units"^2#

Tony B
I was correct after all!

If you theoretically cut of the triangle part from one side and 'past' it back on the other side but with it upside down you have a rectangle.

So the area is #"base"xx"height"#

Let area be #a#

#h=Dxxsin((3pi)/8)" "# Note that #3/8 pi" radians "= 3/8 xx 180^o #

#=>a= 8xx4sin(3/8 pi) ~=29.56 " units"^2#