170:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000
Olimpiadas matemáticas:@0.107368:0.074738:0.438969:0.074738:0.438969:0.046697:0.107368:0.046697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.096359:0.125354:0.115100:0.125354:0.115100:0.108218:0.096359:0.108218:0.000000:0.000000:0.000000
Si cada lado del cuadrado blanco mide 10 cm y A, B, C, D son puntos medios de cada lado, ¿cuál es el área :@0.124848:0.125354:0.907748:0.125354:0.907748:0.109684:0.124848:0.109684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del cuadrado azul?:@0.124848:0.141951:0.262318:0.141951:0.262318:0.126281:0.124848:0.126281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.265562:0.626385:0.269468:0.626385:0.269468:0.609761:0.265562:0.609761:0.000000
Argumenta:@0.294051:0.626385:0.384549:0.626385:0.384549:0.609484:0.294051:0.609484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.384549:0.626385:0.388456:0.626385:0.388456:0.609761:0.384549:0.609761:0.000000
la solución::@0.387811:0.626385:0.468782:0.626385:0.468782:0.610715:0.387811:0.610715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.385820:0.906601:0.389727:0.906601:0.389727:0.889977:0.385820:0.889977:0.000000
Argumenta:@0.414310:0.906601:0.504806:0.906601:0.504806:0.889700:0.414310:0.889700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.504806:0.906601:0.508713:0.906601:0.508713:0.889977:0.504806:0.889977:0.000000
la solución::@0.508069:0.906601:0.589040:0.906601:0.589040:0.890931:0.508069:0.890931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.265562:0.460421:0.269468:0.460421:0.269468:0.443797:0.265562:0.443797:0.000000
Argumenta:@0.294051:0.460421:0.384549:0.460421:0.384549:0.443520:0.294051:0.443520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.384549:0.460421:0.388456:0.460421:0.388456:0.443797:0.384549:0.443797:0.000000
la solución::@0.387811:0.460421:0.468782:0.460421:0.468782:0.444751:0.387811:0.444751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.299063:0.236107:0.302970:0.236107:0.302970:0.219483:0.299063:0.219483:0.000000
Argumenta:@0.327552:0.236107:0.418050:0.236107:0.418050:0.219207:0.327552:0.219207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.418050:0.236107:0.421957:0.236107:0.421957:0.219483:0.418050:0.219483:0.000000
la solución::@0.421957:0.236107:0.503591:0.236107:0.503591:0.220438:0.421957:0.220438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.096359:0.308993:0.115100:0.308993:0.115100:0.291857:0.096359:0.291857:0.000000:0.000000:0.000000
¿Cuál es la suma de los ángulos marcados con 1 y 2 en la figura?:@0.124848:0.308993:0.593789:0.308993:0.593789:0.293323:0.124848:0.293323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.096359:0.521454:0.115100:0.521454:0.115100:0.504319:0.096359:0.504319:0.000000:0.000000:0.000000
La figura que se muestra consta de 6 cuadrados, con lado de 3 cm. ¿Cuál es su perímetro? :@0.124848:0.521454:0.784736:0.521454:0.784736:0.505785:0.124848:0.505785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.096359:0.684265:0.115100:0.684265:0.115100:0.667129:0.096359:0.667129:0.000000:0.000000:0.000000
Juan Carlos desea comprar un terreno de forma rectangular. Una inmobiliaria le ofrece un lote cuyo largo :@0.124848:0.684265:0.907636:0.684265:0.907636:0.668595:0.124848:0.668595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es tres veces más que el ancho y de perímetro tiene 240 m. ¿Cuáles son las dimensiones del terreno? Si el :@0.124848:0.700861:0.907525:0.700861:0.907525:0.685191:0.124848:0.685191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
costo del metro cuadrado es de $ 120, ¿cuánto tendrá que pagar Juan Carlos por el terreno?:@0.124848:0.717457:0.797820:0.717457:0.797820:0.701788:0.124848:0.701788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5. :@0.096359:0.764550:0.115100:0.764550:0.115100:0.747414:0.096359:0.747414:0.000000:0.000000:0.000000
El diagrama muestra un triángulo rectángulo isósceles XYZ con un cuadrado PQRS en su interior. Si el área :@0.124848:0.764550:0.907710:0.764550:0.907710:0.748880:0.124848:0.748880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del triángulo XYZ es 1, ¿cuál es el área del cuadrado PQRS?:@0.124848:0.781146:0.552493:0.781146:0.552493:0.765476:0.124848:0.765476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.201308:0.172974:0.211108:0.172974:0.211108:0.158729:0.201308:0.158729:0.000000
D:@0.200788:0.277645:0.211627:0.277645:0.211627:0.263400:0.200788:0.263400:0.000000
B:@0.277481:0.224914:0.285941:0.224914:0.285941:0.210668:0.277481:0.210668:0.000000
C:@0.125922:0.224914:0.135471:0.224914:0.135471:0.210668:0.125922:0.210668:0.000000
2:@0.253944:0.360016:0.262119:0.360016:0.262119:0.345770:0.253944:0.345770:0.000000
1:@0.154669:0.478843:0.162844:0.478843:0.162844:0.464598:0.154669:0.464598:0.000000
Y:@0.242147:0.816441:0.248633:0.816441:0.248633:0.804542:0.242147:0.804542:0.000000
Q:@0.282956:0.844102:0.291600:0.844102:0.291600:0.832202:0.282956:0.832202:0.000000
P:@0.198657:0.844102:0.205037:0.844102:0.205037:0.832202:0.198657:0.832202:0.000000
X:@0.127131:0.906373:0.133725:0.906373:0.133725:0.894474:0.127131:0.894474:0.000000
S:@0.206230:0.906373:0.212100:0.906373:0.212100:0.894474:0.206230:0.894474:0.000000
R:@0.274593:0.906373:0.281106:0.906373:0.281106:0.894474:0.274593:0.894474:0.000000
Z:@0.353208:0.906373:0.359963:0.906373:0.359963:0.894474:0.353208:0.894474:0.000000
30°:@0.212763:0.395075:0.234039:0.395075:0.234039:0.380830:0.212763:0.380830:0.000000:0.000000:0.000000
El área es 50 cm .:@0.538451:0.233169:0.618057:0.233169:0.618057:0.223197:0.538451:0.223197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.612680:0.229321:0.616016:0.229321:0.616016:0.223507:0.612680:0.223507:0.000000
La suma es de 270°.:@0.504777:0.458671:0.595941:0.458671:0.595941:0.448699:0.504777:0.448699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El perímetro de la figura es 36 cm.:@0.509972:0.625153:0.667707:0.625153:0.667707:0.615181:0.509972:0.615181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las dimensiones son  30 x 90 m:@0.124727:0.732157:0.271897:0.732157:0.271897:0.722185:0.124727:0.722185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El costo es $ 324 000:@0.124727:0.742005:0.221272:0.742005:0.221272:0.732033:0.124727:0.732033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4/9:@0.607081:0.905336:0.622642:0.905336:0.622642:0.895364:0.607081:0.895364:0.000000:0.000000:0.000000