AIME II 2018 problem 4
 samiul_samin
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AIME II 2018 problem 4
In equiangular octagon $CAROLINE$, $CA = RO = LI = NE =$ $\sqrt{2}$ and $AR = OL = IN = EC = 1$. The selfintersecting octagon $CORNELIA$ encloses six nonoverlapping triangular regions. Let $K$ be the area enclosed by $CORNELIA$, that is, the total area of the six triangular regions. Then $K =$ $\dfrac{a}{b}$, where $a$ and $b$ are relatively prime positive integers. Find $a + b$.

 Posts: 62
 Joined: Sun Mar 30, 2014 10:40 pm
Re: AIME II 2018 problem 4
After the tedious calculations, I found the answers to be $a=25$ and $b=6$.
Therefore, $a+b=31$.
But I'm too tired to write the full solution right now. Hopefully, I will post it when I feel like!
Till then, I invite someone else to prove my answer. Good luck!
Therefore, $a+b=31$.
But I'm too tired to write the full solution right now. Hopefully, I will post it when I feel like!
Till then, I invite someone else to prove my answer. Good luck!