{"id":"cb_question_bank:badbb0d5-30f1-4786-8ebf-71bfe7caba9f","source_id":"cb_question_bank","source_item_id":"badbb0d5-30f1-4786-8ebf-71bfe7caba9f","external_id":"ce714e5d-1fb7-44e8-bfbc-55e6659cac72","ibn":null,"question_id":"97158b3a","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.C.","skill":"Nonlinear functions","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The area A , in square centimeters, of a rectangular painting can be represented by the expression w left parenthesis w plus 29 right parenthesis , where w is the width, in centimeters, of the painting. Which expression represents the length, in centimeters, of the painting?","stimulus":"","stimulus_html":null,"stem_html":"<p>The area <em>A</em>, in square centimeters, of a rectangular painting can be represented by the expression <math alttext=\"w left parenthesis w plus 29 right parenthesis\"><mi>w</mi><mfenced><mrow><mi>w</mi><mo>+</mo><mrow><mn>29</mn></mrow></mrow></mfenced></math>, where <math alttext=\"w\"><mi>w</mi>\n</math> is the width, in centimeters, of the painting.&nbsp; Which expression represents the length, in centimeters, of the painting?</p>","rationale_html":"<p style=\"text-align: left;\">Choice C is correct. It's given that the expression <math alttext=\"w left parenthesis w plus 29 right parenthesis\"><mi>w</mi><mfenced><mrow><mi>w</mi><mo>+</mo><mn>29</mn></mrow></mfenced></math>&nbsp;represents the area, in square centimeters, of a rectangular painting, where <math alttext=\"w\"><mi>w</mi>\n</math> is the width, in centimeters, of the painting. The area of a rectangle can be calculated by multiplying its length by its width. It follows that the length, in centimeters, of the painting is represented by the expression <math alttext=\"left parenthesis w plus 29 right parenthesis\"><mfenced><mrow><mi>w</mi><mo>+</mo><mn>29</mn></mrow></mfenced></math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect. This expression represents the width, in centimeters, of the painting, not its length, in centimeters.</p>\n<p style=\"text-align: left;\">Choice B is incorrect. This is the difference between the length, in centimeters, and the width, in centimeters, of the painting, not its length, in centimeters.</p>\n<p style=\"text-align: left;\">Choice D is incorrect. This expression represents the area, in square centimeters, of the&nbsp;painting, not its length, in centimeters.</p>","correct_answer":["C"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.826000+00:00","source_updated_at":"2023-08-02T20:25:59.826000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"w\"><mi>w</mi>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"29\"><mn>29</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"left parenthesis w plus 29 right parenthesis\"><mfenced><mrow><mi>w</mi><mo>+</mo><mrow><mn>29</mn></mrow></mrow></mfenced></math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"w left parenthesis w plus 29 right parenthesis\"><mi>w</mi><mfenced><mrow><mi>w</mi><mo>+</mo><mrow><mn>29</mn></mrow></mrow></mfenced></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}}