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AMC 12 2010a Problem 25

  • Paper

Two quadrilaterals are considered the same if one can be obtained from the other by a rotation and a translation. How many different convex cyclic quadrilaterals are there with integer sides and perimeter equal to 32?

\textbf{(A)}\ 560 \textbf{(B)}\ 564 \textbf{(C)}\ 568 \textbf{(D)}\ 1498 \textbf{(E)}\ 2255

Dataset text AMC 12 2000 to 2025. Quoted with source.

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C

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