[{"data":1,"prerenderedAt":153},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Frazonamiento-matematico\u002Fperimetros-y-areas?{}":3,"topics-with-content:razonamiento-matematico":111},{"course":4,"topic":12,"counts":17,"universities":22,"channels":36,"sampleQuestions":67,"sameName":110},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},17,"razonamiento-matematico","Razonamiento Matemático","R. Mat.","reasoning","i-lucide-puzzle",16,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":16},1721,"perimetros-y-areas","Perímetros y áreas",20,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},13,109,86,1062,[23,32],{"universityId":24,"questions":25,"years":26},1,10,[27,28,29,30,31],2026,2025,2024,2023,2022,{"universityId":33,"questions":34,"years":35},2,3,[27,28],[37,40,43,46,49,52,55,58,60,63,65],{"name":38,"classes":39},"Alberto Cruz",34,{"name":41,"classes":42},"Academia Grupo Ciencias",22,{"name":44,"classes":45},"Academia ipluton",12,{"name":47,"classes":48},"CEPRE UNMSM",9,{"name":50,"classes":51},"Academia Internet",7,{"name":53,"classes":54},"Salón Sapiens",6,{"name":56,"classes":57},"Ciclo Uni-San Marcos",5,{"name":59,"classes":57},"META VILLARREAL",{"name":61,"classes":62},"Academias Aduni y César Vallejo",4,{"name":64,"classes":34},"Trilce Multimedia",{"name":66,"classes":33},"Academia_Pitagoras",[68,93],{"id":69,"courseId":5,"topicId":13,"pastExamId":70,"stem":71,"options":72,"correctKey":83,"explanation":88,"difficulty":33,"status":89,"source":90,"stats":91},1490,196,"Si el lado de un cubo se duplica, ¿en qué porcentaje se incrementa el área de la superficie del cubo?",[73,76,79,82,85],{"key":74,"text":75},"A","100%",{"key":77,"text":78},"B","200%",{"key":80,"text":81},"C","250%",{"key":83,"text":84},"D","300%",{"key":86,"text":87},"E","400%","","published","UNI 2026-1 · Aptitud Académica y Humanidades",{"attempts":92,"accuracy":92},0,{"id":94,"courseId":5,"topicId":13,"pastExamId":95,"stem":96,"options":97,"correctKey":80,"explanation":88,"difficulty":34,"status":89,"source":108,"stats":109},1127,190,"Los lados de un paralelogramo miden 4 y 6 cm respectivamente, y una de sus diagonales mide 8 cm. Calcule el área del paralelogramo.",[98,100,102,104,106],{"key":74,"text":99},"$4\\sqrt{15}$",{"key":77,"text":101},"$5\\sqrt{15}$",{"key":80,"text":103},"$6\\sqrt{15}$",{"key":83,"text":105},"20",{"key":86,"text":107},"$7\\sqrt{15}$","UNI 2025-1 · Aptitud Académica y Humanidades",{"attempts":92,"accuracy":92},[],[112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,13,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152],1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1791501535511]