{"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":"5dc3730e-067e-5825-bf5e-8f4088f1da56","task_key":"geometry--test--5dc3730e-067e-5825-bf5e-8f4088f1da56","task_revision_id":"1","upstream_id":"","short_description":"In the diagram below, $WXYZ$ is a trapezoid such that $\\overline{WX}\\parallel…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"In the diagram below, $WXYZ$ is a trapezoid such that $\\\\overline{WX}\\\\parallel \\\\overline{ZY}$ and $\\\\overline{WY}\\\\perp\\\\overline{ZY}$.  If $YZ = 12$, $\\\\tan Z = 1.5$, and $\\\\tan X = 3$, then what is the area of $WXYZ$?\\n\\n[asy]\\npair WW,X,Y,Z;\\nZ = (0,0);\\nY = (12,0);\\nWW = (12,18);\\nX= (18,18);\\ndraw(WW--X--Y--Z--WW);\\nlabel(\\\"$W$\\\",WW,N);\\nlabel(\\\"$X$\\\",X,N);\\nlabel(\\\"$Y$\\\",Y,S);\\nlabel(\\\"$Z$\\\",Z,S);\\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":[]}