{"id":"aqua_rat:ac4ef90dfbf4608b9934b39c1d59c9ff","source_id":"aqua_rat","source_item_id":"ac4ef90dfbf4608b9934b39c1d59c9ff","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":"When folded into two equal halves a rectangular sheet had a perimeter of 48cm for each part folded along one set of sides and the same is 66cm when folded along the other set of sides. Find the area of the sheet.","stimulus":"","stimulus_html":null,"stem_html":"<p>When folded into two equal halves a rectangular sheet had a perimeter of 48cm for each part folded along one set of sides and the same is 66cm when folded along the other set of sides. Find the area of the sheet.</p>","rationale_html":"<p>Let the sheet be folded along its breadth and its perimeter = 48cm</p><p>Therefore, (l/2 + b) = 48 ... (i)</p><p>Now, let the sheet be folded along its length, and the perimeter = 66cm</p><p>(l + b/2)= 66 …... (ii)</p><p>Solving (i) and (ii), we get,</p><p>l = 56cm, b = 20cm</p><p>Area = l*b</p><p>Area = 1120 cm2</p><p>ANSWER IS B</p>","correct_answer":["B"],"equiv_key":"545980cb5ab4edd42967c283","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>1584</p>","ord":0},{"label":"B","content_html":"<p>1120</p>","ord":1},{"label":"C","content_html":"<p>792</p>","ord":2},{"label":"D","content_html":"<p>1320</p>","ord":3},{"label":"E","content_html":"<p>1200</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":[]}