{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"math","formal_name":"MATH","introduction":"MATH organises 12,500 high-school competition problems into seven subjects and five difficulty levels, each with a full worked solution. It underlies much of the later mathematics evaluation work; this catalogue imports the full test split: 5,000 problems across all seven subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/math","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"ae6781af-aed0-53eb-9314-f31ca38661d4","task_key":"geometry--test--ae6781af-aed0-53eb-9314-f31ca38661d4","task_revision_id":"1","upstream_id":"","short_description":"$ABCDEFGH$ is a regular octagon of side 12cm. Find the area in square…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"$ABCDEFGH$ is a regular octagon of side 12cm. Find the area in square centimeters of trapezoid $BCDE$. Express your answer in simplest radical form.\\n\\n\\n[asy] real x = 22.5; draw(dir(0+x)--dir(45+x)--dir(90+x)--dir(90+45+x)-- dir(90+2*45+x)--dir(90+3*45+x)-- dir(90+4*45+x)-- dir(90+5*45+x)--dir(90+6*45+x));\\n\\nlabel(\\\"$A$\\\", dir(90+45+x), W); label(\\\"$B$\\\", dir(90+x), NW);label(\\\"$C$\\\", dir(45+x), NE); label(\\\"$D$\\\", dir(x), E);label(\\\"$E$\\\", dir(90+5*45+x), E);label(\\\"$F$\\\", dir(90+4*45+x), SE); label(\\\"$G$\\\", dir(90+3*45+x), SW);label(\\\"$H$\\\", dir(90+2*45+x), W);\\ndraw( dir(90+x)--dir(90+5*45+x) );\\n[/asy]\",\"type\":\"Geometry\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}