{"id":"cb_question_bank:dda727be-07d6-4492-a237-7ece01521fca","source_id":"cb_question_bank","source_item_id":"dda727be-07d6-4492-a237-7ece01521fca","external_id":null,"ibn":"11138-DC","question_id":"5ad9eff0","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.A.","skill":"Linear equations in one variable","difficulty":"M","score_band":5,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The width of a rectangular dance floor is w feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of w ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">The width of a rectangular dance floor is <span class=\"italic\">w</span> feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of <span class=\"italic\">w</span> ?</p>\n","rationale_html":"<p>Choice B is correct. It is given that the width of the dance floor is <span class=\"italic\">w</span> feet. The length is 6 feet longer than the width; therefore, the length of the dance floor is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d5d40924857ed778faae93a76467e8e8ac4ecba683543c4b192a7cfc3d3e9a12\" alt=\"w plus 6\"></span>. So the perimeter is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/26d4ab28aee69c44ac180f9a414d7034db71c8849f5fc8b17d9bc68cf141de4c\" alt=\"w plus w, plus, open parenthesis, w plus 6, close parenthesis, plus, open parenthesis, w plus 6, close parenthesis, equals, 4 w plus 12\"></span>.</p><p>Choice A is incorrect because it is the sum of one length and one width, which is only half the perimeter. Choice C is incorrect and may result from using the formula for the area instead of the formula for the perimeter and making a calculation error. Choice D is incorrect because this is the area, not the perimeter, of the dance floor.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.638000+00:00","source_updated_at":"2023-08-02T20:25:59.638000+00:00","options":[{"label":"A","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/307ad08defa33c792238505d8cc5d8c55c57e31cc29941b90bdfbb291eb23abf\" alt=\"2 w plus 6\"></span></span>\n","ord":0},{"label":"B","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/40578108faaf1a6aa0af524a7b1bcdf36c13416f8928421199bcd70d59568756\" alt=\"4 w plus 12\"></span></span>\n","ord":1},{"label":"C","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/8e90930ba291d7163c3f939a607c7b6a0946b4a24a2c0de7b6e86e0326e240a7\" alt=\"w squared plus 6\"></span></span>\n","ord":2},{"label":"D","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/90b66c0b3fb96a22ee7eb353300e7e977f9e2485411c0349e0b47268eb98b6d3\" alt=\"w squared plus 6 w\"></span></span>\n","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}}