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In regular octagon ABCDEFGH,  M and  N are midpoints of  line BC and  line FG respectively. Compute [ABMO]/[ABCDEFGH]. ([ABCD] denotes the area of polygon ABCD.)

 

 May 2, 2021
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If we break everything into little triangles, (ABO, BOC, etc) we'll notice that ABMO = 1.5 triangles, and there are 8 triangles in total.

1.5/8 = 3/16

 

=^._.^=

 May 2, 2021

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