{"id":"aqua_rat:5c491bc07ff4741d60667fea5cb55a89","source_id":"aqua_rat","source_item_id":"5c491bc07ff4741d60667fea5cb55a89","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 square piece of cloth is trimmed by 4 feet on one edge to form a rectangular piece, which is then cut diagonally in half to create two triangles. If the area of each of triangle is 70 square feet, what was the perimeter (in feet) of the original piece of square cloth?","stimulus":"","stimulus_html":null,"stem_html":"<p>A square piece of cloth is trimmed by 4 feet on one edge to form a rectangular piece, which is then cut diagonally in half to create two triangles. If the area of each of triangle is 70 square feet, what was the perimeter (in feet) of the original piece of square cloth?</p>","rationale_html":"<p>Let x be the length of one side of the original square.</p><p>The area of the rectangle is x(x-4)=140.</p><p>x=14.</p><p>The perimeter of the square was 4*14=56 feet.</p><p>The answer is A.</p>","correct_answer":["A"],"equiv_key":"bb16b4d56cd75c9835b9d15d","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>56</p>","ord":0},{"label":"B","content_html":"<p>58</p>","ord":1},{"label":"C","content_html":"<p>60</p>","ord":2},{"label":"D","content_html":"<p>62</p>","ord":3},{"label":"E","content_html":"<p>64</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":[]}