{"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":"95551fd5-3d21-549e-b2a2-b5c860e02352","task_key":"geometry--test--95551fd5-3d21-549e-b2a2-b5c860e02352","task_revision_id":"1","upstream_id":"","short_description":"In the arrow-shaped polygon shown below, the angles at vertices $A$, $C$, $D$,…","config":"geometry","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"In the arrow-shaped polygon shown below, the angles at vertices $A$, $C$, $D$, $E$, and $F$ are right angles, $BC = FG = 5$, $CD = FE = 20$, $DE = 10$, and $AB = AG$.  Find the area of polygon $ABCDEFG$.\\n\\n[asy]\\nunitsize(1.5 cm);\\n\\npair A, B, C, D, E, F, G;\\n\\nA = (0,0);\\nB = (1,1);\\nC = (1,0.5);\\nD = (2.5,0.5);\\nE = (2.5,-0.5);\\nF = (1,-0.5);\\nG = (1,-1);\\n\\ndraw(A--B--C--D--E--F--G--cycle);\\n\\nlabel(\\\"$A$\\\", A, W);\\nlabel(\\\"$B$\\\", B, NE);\\nlabel(\\\"$C$\\\", C, S);\\nlabel(\\\"$D$\\\", D, NE);\\nlabel(\\\"$E$\\\", E, SE);\\nlabel(\\\"$F$\\\", F, N);\\nlabel(\\\"$G$\\\", G, SE);\\nlabel(\\\"$5$\\\", (B + C)/2, dir(0));\\nlabel(\\\"$20$\\\", (C + D)/2, N);\\nlabel(\\\"$10$\\\", (D + E)/2, dir(0));\\nlabel(\\\"$20$\\\", (E + F)/2, S);\\nlabel(\\\"$5$\\\", (F + G)/2, dir(0));\\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":[]}