{"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":"a3936e74-56e3-5e00-a9ea-dcff36aa196d","task_key":"geometry--test--a3936e74-56e3-5e00-a9ea-dcff36aa196d","task_revision_id":"1","upstream_id":"","short_description":"In trapezoid $ABCD$ with bases $\\overline{AB}$ and $\\overline{CD}$, we have $AB…","config":"geometry","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"In trapezoid $ABCD$ with bases $\\\\overline{AB}$ and   $\\\\overline{CD}$, we have $AB = 52$, $BC = 12$, $CD = 39$, and $DA = 5$. What is the area of $ABCD$?\\n\\n[asy]\\npair A,B,C,D;\\nA=(0,0);\\nB=(4,0);\\nC=(3.3,1);\\nD=(0.3,1);\\nlabel(\\\"$A$\\\",A,S);\\nlabel(\\\"$B$\\\",B,S);\\nlabel(\\\"$C$\\\",C,N);\\nlabel(\\\"$D$\\\",D,N);\\nlabel(\\\"52\\\",(2,0),S);\\nlabel(\\\"39\\\",(1.8,1),N);\\nlabel(\\\"5\\\",(0.15,0.5),W);\\nlabel(\\\"12\\\",(3.65,0.5),E);\\ndraw(A--B--C--D--cycle);\\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":[]}