{"id":"cb_question_bank:d3a76f8b-0072-4a93-9f87-b8aabf61d41d","source_id":"cb_question_bank","source_item_id":"d3a76f8b-0072-4a93-9f87-b8aabf61d41d","external_id":"7ce3a2e8-bebb-4040-84e7-3f30170327e3","ibn":null,"question_id":"165c30c4","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":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A rectangle has a length of 64 inches and a width of 32 inches. What is the area, in square inches, of the rectangle?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">A rectangle has a length of <math alttext=\"64\"><mn>64</mn>\n</math> inches and a width of <math alttext=\"32\"><mn>32</mn>\n</math> inches. What is the area, in square inches, of the rectangle?</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"2,048\"><mn>2,048</mn>\n</math>. The area <math alttext=\"upper A\"><mi>A</mi>\n</math>, in square inches, of a rectangle is equal to the product of its length <math alttext=\"script l\"><mi>l</mi></math>, in inches, and its width <math alttext=\"w\"><mi>w</mi>\n</math>, in inches, or <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=\"64\"><mn>64</mn>\n</math> inches and a width of <math alttext=\"32\"><mn>32</mn>\n</math> inches. Substituting <math alttext=\"64\"><mn>64</mn>\n</math> for <math alttext=\"script l\"><mi>l</mi></math>&nbsp;and <math alttext=\"32\"><mn>32</mn>\n</math> for <math alttext=\"w\"><mi>w</mi>\n</math> in the equation <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 left parenthesis 64 right parenthesis left parenthesis 32 right parenthesis\"><mi>A</mi><mo>=</mo><mfenced><mn>64</mn></mfenced><mfenced><mn>32</mn></mfenced></math>, or <math alttext=\"upper A equals 2,048\"><mrow>\n\t<mi>A</mi>\n\t<mo>=</mo>\n\t<mn>2,048</mn>\n</mrow>\n</math>. Therefore, the area, in square inches, of the rectangle is <math alttext=\"2,048\"><mn>2,048</mn>\n</math>.</p>","correct_answer":["2048"],"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":[],"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}}