{"id":"cb_question_bank:0e07dfe3-a42f-41e8-ae86-7ad9a2b6352c","source_id":"cb_question_bank","source_item_id":"0e07dfe3-a42f-41e8-ae86-7ad9a2b6352c","external_id":"21b61a47-8395-41b7-9031-ab756ca63c22","ibn":null,"question_id":"5252e606","program":"SAT","module":"math","domain_code":"S","domain":"Geometry and Trigonometry","skill_code":"S.A.","skill":"Area and volume","difficulty":"E","score_band":3,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The side length of a square is 55 centimeters left parenthesis cm right parenthesis . What is the area, in cm squared , of the square?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">The side length of a square is <math alttext=\"55 centimeters left parenthesis cm right parenthesis\"><mrow><mn>55</mn></mrow><mo>&nbsp;</mo><mtext>centimeters</mtext><mo>&nbsp;</mo><mfenced><mtext>cm</mtext></mfenced></math>. What is the area, <math alttext=\"in cm squared\"><mtext>in</mtext><mo>&nbsp;</mo><msup><mtext>cm</mtext><mn>2</mn></msup></math>, of the square?</p>","rationale_html":"<p style=\"text-align: left;\">Choice C is correct. The area <math alttext=\"upper A\"><mi>A</mi>\n</math>, <math alttext=\"in square centimeters left parenthesis cm squared right parenthesis\"><mtext>in</mtext><mo>&nbsp;</mo><mtext>square</mtext><mo>&nbsp;</mo><mtext>centimeters</mtext><mo>&nbsp;</mo><mo>(</mo><msup><mtext>cm</mtext><mn>2</mn></msup><mo>)</mo></math>, of a square with side length <math alttext=\"s\"><mi>s</mi>\n</math>, <math alttext=\"in cm\"><mtext>in</mtext><mo>&nbsp;</mo><mtext>cm</mtext></math>, is given by the formula <math alttext=\"upper A equals s squared\"><mrow>\n\t<mi>A</mi>\n\t<mo>=</mo>\n\t<msup>\n\t\t<mi>s</mi>\n\t\t<mn>2</mn>\n\t</msup>\n</mrow>\n</math>. It’s given that the square has a side length of <math alttext=\"55 cm\"><mn>55</mn><mo>&nbsp;</mo><mtext>cm</mtext></math>. Substituting <math alttext=\"55\"><mn>55</mn>\n</math> for <math alttext=\"s\"><mi>s</mi>\n</math> in the formula <math alttext=\"upper A equals s squared\"><mrow>\n\t<mi>A</mi>\n\t<mo>=</mo>\n\t<msup>\n\t\t<mi>s</mi>\n\t\t<mn>2</mn>\n\t</msup>\n</mrow>\n</math> yields <math alttext=\"upper A equals 55 squared\"><mi>A</mi><mo>=</mo><msup><mn>55</mn><mn>2</mn></msup></math>, or <math alttext=\"upper A equals 3,025\"><mrow>\n\t<mi>A</mi>\n\t<mo>=</mo>\n\t<mn>3,025</mn>\n</mrow>\n</math>. Therefore, the area, <math alttext=\"in cm squared\"><mtext>in</mtext><mo>&nbsp;</mo><msup><mtext>cm</mtext><mn>2</mn></msup></math>, of the square is <math alttext=\"3,025\"><mn>3,025</mn>\n</math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect and may result from conceptual or calculation errors.</p>\n<p style=\"text-align: left;\">Choice B is incorrect. This is the perimeter, <math alttext=\"in cm\"><mtext>in</mtext><mo>&nbsp;</mo><mtext>cm</mtext></math>, of the square, not its 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 and may result from conceptual or calculation errors.</p>","correct_answer":["C"],"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=\"110\"><mn>110</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"220\"><mn>220</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"3,025\"><mn>3,025</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"12,100\"><mn>12,100</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}}