2013 Mock AIME I Problems/Problem 5

Problem

In quadrilateral $ABCD$ , $AC\cap BD=M$ . Also, $MA=6, MB=8, MC=4, MD=3$ , and $BC=2CD$ . The perimeter of $ABCD$ can be expressed in the form $\frac{p\sqrt{q}}{r}$ where $p$ and $r$ are relatively prime, and $q$ is not divisible by the square of any prime number. Find $p+q+r$ .

Solution

$\boxed{037}$ .

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2013 Mock AIME I Problems/Problem 5

Problem

Solution

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