{"id":"cb_question_bank:1b3ef53d-5955-43a6-8a0b-25caea2d569c","source_id":"cb_question_bank","source_item_id":"1b3ef53d-5955-43a6-8a0b-25caea2d569c","external_id":"4a39e52e-02ea-49d7-a695-87a667bdb785","ibn":null,"question_id":"59cb654c","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":"The area of a square is 64 square inches. What is the side length, in inches, of this square?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">The area of a square is <math alttext=\"64\"><mn>64</mn>\n</math> square inches. What is the side length, in inches, of this square?</p>","rationale_html":"<p style=\"text-align: left;\">Choice A is correct. It's given that the area of a square is <math alttext=\"64\"><mn>64</mn>\n</math> square inches. The area <math alttext=\"upper A\"><mi>A</mi>\n</math>, in square inches, of a square is given by the formula <math alttext=\"upper A equals s squared\"><mi>A</mi><mo>=</mo><msup><mi>s</mi><mn>2</mn></msup></math>, where <math alttext=\"s\"><mi>s</mi>\n</math> is the side length, in inches, of the square. Substituting <math alttext=\"64\"><mn>64</mn>\n</math> for <math alttext=\"upper A\"><mi>A</mi>\n</math> in this formula yields <math alttext=\"64 equals s squared\"><mn>64</mn><mo>=</mo><msup><mi>s</mi><mn>2</mn></msup></math>. Taking the positive square root of both sides of this equation yields <math alttext=\"8 equals s\"><mn>8</mn><mo>=</mo><mi>s</mi></math>. Thus, the side length, in inches, of this square is <math alttext=\"8\"><mn>8</mn>\n</math>.</p>\n<p style=\"text-align: left;\">Choice B is incorrect and may result from conceptual or calculation errors.</p>\n<p style=\"text-align: left;\">Choice C is incorrect. This is the area, in square inches, of the square, not the side length, in inches, of the square.</p>\n<p>Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["A"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.836000+00:00","source_updated_at":"2023-08-02T20:25:59.836000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"8\"><mn>8</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"16\"><mn>16</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"64\"><mn>64</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"128\"><mn>128</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}}