Problem

AMC Practice #1 - Problem 9

Points $A,B,C,D$ lie on a circle with $AB = 12$ , $BC = 8$ , $CD = 6$ , and $AD = 16$ . The area of $ABCD$ can be written as $m\sqrt{n}$ , where $m$ and $n$ are positive integers, and $n$ is not divisible by the square of any prime number. Find $m+n$ .

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Problem Tags: 2-d Geometry Number theory

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Category: AMC Practice #1
Points: 4
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