{"id":"cb_question_bank:cce9833e-d584-45b2-87ca-c6dc9bd39d92","source_id":"cb_question_bank","source_item_id":"cce9833e-d584-45b2-87ca-c6dc9bd39d92","external_id":"76f07394-0a95-4e65-86b8-e42618d65c92","ibn":null,"question_id":"4420e500","program":"SAT","module":"math","domain_code":"S","domain":"Geometry and Trigonometry","skill_code":"S.A.","skill":"Area and volume","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"What is the area of a rectangle with a length of 4 centimeters left parenthesis cm right parenthesis and a width of 2 cm ?","stimulus":"","stimulus_html":null,"stem_html":"<p>What is the area of a rectangle with a length of <math alttext=\"4 centimeters left parenthesis cm right parenthesis\"><mrow><mn>4</mn></mrow><mo>&nbsp;</mo><mtext>centimeters</mtext><mo>&nbsp;</mo><mfenced><mtext>cm</mtext></mfenced></math> and a width of <math alttext=\"2 cm\"><mrow><mn>2</mn></mrow><mo>&nbsp;</mo><mtext>cm</mtext></math>?</p>","rationale_html":"<p style=\"text-align: left;\">Choice B is correct. The area of a rectangle with length <math alttext=\"script l\"><mi>l</mi></math> and width <math alttext=\"w\"><mi>w</mi>\n</math> 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>. It’s given that the rectangle has a length of <math alttext=\"4 cm\"><mn>4</mn><mo>&nbsp;</mo><mtext>cm</mtext></math>&nbsp;and a width of&nbsp;<math alttext=\"2 cm\"><mn>2</mn><mo>&nbsp;</mo><mtext>cm</mtext></math>. Therefore, the area of this rectangle is <math alttext=\"left parenthesis 4 cm right parenthesis left parenthesis 2 cm right parenthesis\"><mfenced><mrow><mn>4</mn><mo>&nbsp;</mo><mtext>cm</mtext></mrow></mfenced><mo>(</mo><mn>2</mn><mo>&nbsp;</mo><mtext>cm</mtext><mo>)</mo></math>, or&nbsp;<math alttext=\"8 cm squared\"><mn>8</mn><mo>&nbsp;</mo><msup><mtext>cm</mtext><mn>2</mn></msup></math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect. This is the sum, <math alttext=\"in cm\"><mtext>in</mtext><mo>&nbsp;</mo><mtext>cm</mtext></math>, of the length and width of the rectangle, not the area, <math alttext=\"in cm squared\"><mtext>in</mtext><mo>&nbsp;</mo><msup><mtext>cm</mtext><mn>2</mn></msup></math>.</p>\n<p style=\"text-align: left;\">Choice C is incorrect. This is the perimeter, <math alttext=\"in cm\"><mtext>in</mtext><mo>&nbsp;</mo><mtext>cm</mtext></math>, of the rectangle, not the area, <math alttext=\"in cm squared\"><mtext>in</mtext><mo>&nbsp;</mo><msup><mtext>cm</mtext><mn>2</mn></msup></math>.</p>\n<p style=\"text-align: left;\">Choice D is incorrect. This is the sum of the length and width of the rectangle squared, not the area.</p>","correct_answer":["B"],"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=\"6 cm squared\"><mn>6</mn>\n<mo>&nbsp;</mo><msup><mtext>cm</mtext><mtext>2</mtext></msup></math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"8 cm squared\"><mn>8</mn>\n<mo>&nbsp;</mo><msup><mtext>cm</mtext><mtext>2</mtext></msup></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"12 cm squared\"><mn>12</mn>\n<mo>&nbsp;</mo><msup><mtext>cm</mtext><mtext>2</mtext></msup></math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"36 cm squared\"><mn>36</mn>\n<mo>&nbsp;</mo><msup><mtext>cm</mtext><mtext>2</mtext></msup></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}}