{"id":"cb_question_bank:a957899c-b352-4a94-91c8-7fcade652f9d","source_id":"cb_question_bank","source_item_id":"a957899c-b352-4a94-91c8-7fcade652f9d","external_id":"f5e0aefd-1908-42ec-9072-52390bef3063","ibn":null,"question_id":"3453aafc","program":"SAT","module":"math","domain_code":"S","domain":"Geometry and Trigonometry","skill_code":"S.A.","skill":"Area and volume","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"What is the area, in square centimeters, of a rectangle with a length of 36 centimeters and a width of 34 centimeters?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">What is the area, in square centimeters, of a rectangle with a length of <math alttext=\"36\"><mn>36</mn>\n</math> centimeters and a width of <math alttext=\"34\"><mn>34</mn>\n</math> centimeters?</p>","rationale_html":"<p style=\"text-align: left;\">Choice D is correct. The area <math alttext=\"upper A\"><mi>A</mi>\n</math>, in square centimeters, of a rectangle can be found using the formula <math alttext=\"upper A equals script l w\"><mi>A</mi><mo>=</mo><mi>l</mi><mi>w</mi></math>, where&nbsp;<math alttext=\"script l\"><mi>l</mi></math> is the length, in centimeters, of the rectangle and <math alttext=\"w\"><mi>w</mi>\n</math> is its width, in centimeters. It's given that the rectangle has a length of <math alttext=\"36\"><mn>36</mn>\n</math> centimeters and a width of <math alttext=\"34\"><mn>34</mn>\n</math> centimeters. Substituting <math alttext=\"36\"><mn>36</mn>\n</math> for <math alttext=\"script l\"><mi>l</mi></math> and <math alttext=\"34\"><mn>34</mn>\n</math> for <math alttext=\"w\"><mi>w</mi>\n</math> in the formula <math alttext=\"upper A equals script l w\"><mi>A</mi><mo>=</mo><mi>l</mi><mi>w</mi></math> yields <math alttext=\"upper A equals 36 left parenthesis 34 right parenthesis\"><mi>A</mi><mo>=</mo><mn>36</mn><mfenced><mn>34</mn></mfenced></math>, or&nbsp;<math alttext=\"upper A equals 1,224\"><mi>A</mi><mo>=</mo><mn>1,224</mn></math>. Therefore, the area, in square centimeters, of this rectangle is <math alttext=\"1,224\"><mn>1,224</mn></math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect and may result from conceptual or calculation errors.</p>\n<p style=\"text-align: left;\">Choice B is incorrect. This is the perimeter, in centimeters, not the area, in square centimeters, of the rectangle.</p>\n<p style=\"text-align: left;\">Choice C is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["D"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.837000+00:00","source_updated_at":"2023-08-02T20:25:59.837000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"70\"><mn>70</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"140\"><mn>140</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"1,156\"><mn>1,156</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"1,224\"><mn>1,224</mn>\n</math></p>","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}