{"id":"aqua_rat:9688d0c120e4610cc62599beb6a18e25","source_id":"aqua_rat","source_item_id":"9688d0c120e4610cc62599beb6a18e25","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 rectangular piece of cloth 2 feet wide was cut lengthwise into two smaller rectangular pieces. The shorter piece was one-third of the length of the longer of the 2 new pieces and had an area of 12 square feet. What was the length Q in feet of the original piece of cloth before cutting?","stimulus":"","stimulus_html":null,"stem_html":"<p>A rectangular piece of cloth 2 feet wide was cut lengthwise into two smaller rectangular pieces. The shorter piece was one-third of the length of the longer of the 2 new pieces and had an area of 12 square feet. What was the length Q in feet of the original piece of cloth before cutting?</p>","rationale_html":"<p>The question says, length of shorter piece is 1/3rd of the length of longer of the two new pieces</p><p>This means after I split it into two pieces, I have a shorter piece and a longer one. The length of shorter is 1/3rd the length of longer. The 6 I found out was length of shorter piece. Then, length of longer should be 18 and total length should be 24.</p>","correct_answer":["C"],"equiv_key":"3d2fb0f86263b1b5c06768c0","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>6</p>","ord":0},{"label":"B","content_html":"<p>18</p>","ord":1},{"label":"C","content_html":"<p>24</p>","ord":2},{"label":"D","content_html":"<p>36</p>","ord":3},{"label":"E","content_html":"<p>48</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":[]}