A parallelogram has sides A, B, C, and D. Sides A and B have a length of #4 # and sides C and D have a length of # 7 #. If the angle between sides A and C is #(5 pi)/6 #, what is the area of the parallelogram?

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Answer 1 · 2016-10-11T07:11:39

#14#

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I have mentioned #(5pi)/6# as #150^circ#, because #(5pi)/6=(5(180))/6=150^circ#

We use the formula

#color(blue)("Area of parallelogram"=a*b*sin(C)#

Where,

#color(orange)("a and b are the sides"#

#color(orange)("C is the angle between them"#

Let's start to solve it

#rarra*b*sin(C)#

#rarr4*7*sin(150)#

#rarr4*7*0.5#

#rarr28*0.5#

#color(green)(rArr14#