{"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":"ec4f2ac0-406f-5a1e-87b0-e74dcb0abb4d","task_key":"prealgebra--test--ec4f2ac0-406f-5a1e-87b0-e74dcb0abb4d","task_revision_id":"1","upstream_id":"","short_description":"As shown, a square is constructed on the hypotenuse of a right triangle whose…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"As shown, a square is constructed on the hypotenuse of a right triangle whose legs have lengths 3 units and 4 units. What is the area of the pentagon $ABCDE$, in square units?\\n\\n[asy]\\npair a,b,c,d,e;\\na=(3,7);\\nb=(7,4);\\nc=(4,0);\\nd=(0,0);\\ne=(0,3);\\ndraw((0,0.5)--(0.5,0.5)--(0.5,0));\\nlabel(\\\"4\\\",(2,0),S);\\ndraw(a--b--c--e--d--c--e--a);\\nlabel(\\\"3\\\",(0,1.5),W);\\nlabel(\\\"$A$\\\",a,N);\\nlabel(\\\"$B$\\\",b,E);\\nlabel(\\\"$C$\\\",c,S);\\nlabel(\\\"$D$\\\",d,S);\\nlabel(\\\"$E$\\\",e,W);\\n[/asy]\",\"type\":\"Prealgebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}