2018 AIME II Problems/Problem 4

Problem

In equiangular octagon $CAROLINE$ , $CA = RO = LI = NE =$ $\sqrt{2}$ and $AR = OL = IN = EC = 1$ . The self-intersecting octagon $CORNELIA$ enclosed six non-overlapping 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 $a + b$ .

2018 AIME II (Problems • Answer Key • Resources)
Preceded by Problem 3	Followed by Problem 5
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All AIME Problems and Solutions

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2018 AIME II Problems/Problem 4

Problem