{"id":"aqua_rat:b0e726a80d3fed8e5995192a88faa9cf","source_id":"aqua_rat","source_item_id":"b0e726a80d3fed8e5995192a88faa9cf","external_id":null,"program":null,"section":"math","category_code":"PHM","category":"Preparing for Higher Math","subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":null,"scored":true,"layout_warning":null,"stem":"A rectangle has twice the area of a square. The length of the rectangle is 14 cm greater than that side of the square whereas breadth is equal to side of the square. Find the perimeter of the square?","stimulus":"","stimulus_html":null,"stem_html":"<p>A rectangle has twice the area of a square. The length of the rectangle is 14 cm greater than that side of the square whereas breadth is equal to side of the square. Find the perimeter of the square?</p>","rationale_html":"<p>Let side of square be x.</p><p>Then for rectangle length = 14 + x and breadth = x.</p><p>It is given</p><p>Area of rectangle = 2 × (area of square)</p><p>length × breadth = 2(x × x)</p><p>(x + 14) × x = 2 × x2</p><p>x2 + 14x = 2x2</p><p>x2 = 14x</p><p>x = 14.</p><p>Perimeter of square = 4 × x = 56</p><p>C</p>","correct_answer":["C"],"equiv_key":"c6cd84cbfce09f3954bbe84c","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>34</p>","ord":0},{"label":"B","content_html":"<p>38</p>","ord":1},{"label":"C","content_html":"<p>56</p>","ord":2},{"label":"D","content_html":"<p>28</p>","ord":3},{"label":"E","content_html":"<p>19</p>","ord":4}],"passage":null,"attribution":{"source_id":"aqua_rat","source_name":"AQuA-RAT algebra word problems with rationales","rights_holder":"Google DeepMind and the AQuA-RAT contributors","canonical_url":"https://github.com/google-deepmind/AQuA","retrieved_from":"https://raw.githubusercontent.com/google-deepmind/AQuA/master/","attribution":"Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.","disclaimer":"AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.","license":"Apache License 2.0. Crowdsourced by DeepMind and published for free use, including commercially.","redistributable":true,"item_count":508},"equivalents":[]}