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 # 4 #. If the angle between sides A and C is #(5 pi)/8 #, what is the area of the parallelogram?

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Answer 1 · 2016-03-06T16:49:18

#"area "~~7.391 # to 3 decimal places

Always start with a diagram. It helps in the understanding of what the question is asking!

Tony B

Known: Area is #Cxxh#

#/_CA =5/8 pi" radians" = 5/8xx180^o = 112 1/2 " degrees"#

#color(blue)("To find h")#

#h=Asin(3/8pi) = 2sin(3/8 pi) = #

#color(blue)("To find area")#

#"area "= Cxxh= 4xx2sin(3/8 pi)#

#"area "~~7.391 # to 3 decimal places