{"status": "success", "data": {"description_md": "The $8\\times 18$ rectangle $ABCD$ is cut into two congruent hexagons, as shown, in such a way that the two hexagons can be repositioned without overlap to form a square. What is $y$?
[asy] unitsize(3mm); defaultpen(fontsize(10pt)+linewidth(.8pt)); dotfactor=4; draw((0,4)--(18,4)--(18,-4)--(0,-4)--cycle); draw((6,4)--(6,0)--(12,0)--(12,-4)); label(\"$A$\",(0,4),NW); label(\"$B$\",(18,4),NE); label(\"$C$\",(18,-4),SE); label(\"$D$\",(0,-4),SW); label(\"$y$\",(3,4),S); label(\"$y$\",(15,-4),N); label(\"$18$\",(9,4),N); label(\"$18$\",(9,-4),S); label(\"$8$\",(0,0),W); label(\"$8$\",(18,0),E); dot((0,4)); dot((18,4)); dot((18,-4)); dot((0,-4));[/asy]
\n\n$\\mathrm{(A) \\ } 6\\qquad \\mathrm{(B) \\ } 7\\qquad \\mathrm{(C) \\ } 8\\qquad \\mathrm{(D) \\ } 9\\qquad \\mathrm{(E) \\ } 10$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "

The 8\\times 18 rectangle ABCD is cut into two congruent hexagons, as shown, in such a way that the two hexagons can be repositioned without overlap to form a square. What is y ?

\"[asy]

\\mathrm{(A) \\ } 6\\qquad \\mathrm{(B) \\ } 7\\qquad \\mathrm{(C) \\ } 8\\qquad \\mathrm{(D) \\ } 9\\qquad \\mathrm{(E) \\ } 10

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2006 AMC 12A Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc12A_p07", "prev": "/problem/06_amc12A_p05"}}