206:@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
En la figura se muestran tres cuadrados. Las lon-:@0.124848:0.125354:0.485809:0.125354:0.485809:0.109684:0.124848:0.109684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gitudes de sus lados son 4 cm, 8 cm y 12 cm. Un :@0.124848:0.141951:0.489734:0.141951:0.489734:0.126281:0.124848:0.126281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vértice del cuadrado del medio es el centro del :@0.124848:0.158547:0.489750:0.158547:0.489750:0.142877:0.124848:0.142877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más pequeño, y un vértice del cuadrado más :@0.124848:0.175143:0.489806:0.175143:0.489806:0.159474:0.124848:0.159474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grande es el centro del de en medio. ¿Cuál es el :@0.124848:0.191740:0.489844:0.191740:0.489844:0.176070:0.124848:0.176070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
área de la figura?:@0.124848:0.208336:0.248645:0.208336:0.248645:0.192666:0.124848:0.192666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.096359:0.297583:0.115100:0.297583:0.115100:0.280447:0.096359:0.280447:0.000000:0.000000:0.000000
Marisol tiene 9 rectángulos iguales, con los que :@0.124848:0.297583:0.489824:0.297583:0.489824:0.281913:0.124848:0.281913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma el rectángulo más grande que se muestra :@0.124848:0.314179:0.489787:0.314179:0.489787:0.298510:0.124848:0.298510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la figura. Si el lado mayor de cada uno de los :@0.124848:0.330776:0.489734:0.330776:0.489734:0.315106:0.124848:0.315106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectángulos pequeños mide 20 cm, ¿cuál es el pe-:@0.124848:0.347372:0.485754:0.347372:0.485754:0.331702:0.124848:0.331702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rímetro del rectángulo más grande?:@0.124848:0.363969:0.387954:0.363969:0.387954:0.348299:0.124848:0.348299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.096359:0.474846:0.115100:0.474846:0.115100:0.457710:0.096359:0.457710:0.000000:0.000000:0.000000
En la figura hay 3 cuadrados. La longitud del lado :@0.124848:0.474846:0.489843:0.474846:0.489843:0.459176:0.124848:0.459176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrado más pequeño es 12 cm. ¿Cuál es el pe-:@0.124848:0.491442:0.485754:0.491442:0.485754:0.475773:0.124848:0.475773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rímetro del lado cuadrado más grande?:@0.124848:0.508039:0.414066:0.508039:0.414066:0.492369:0.124848:0.492369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.096359:0.662067:0.115100:0.662067:0.115100:0.644931:0.096359:0.644931:0.000000:0.000000:0.000000
El área del cuadrado de la figura es   y el área de :@0.124848:0.662067:0.489771:0.662067:0.489771:0.646397:0.124848:0.646397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.387332:0.662067:0.396601:0.662067:0.396601:0.645706:0.387332:0.645706:0.000000
cada uno de los círculos es  . ¿Cuánto vale el área :@0.124830:0.678663:0.489828:0.678663:0.489828:0.662994:0.124830:0.662994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.323740:0.678663:0.333009:0.678663:0.333009:0.662302:0.323740:0.662302:0.000000
encerrada dentro de la línea gruesa?:@0.124830:0.695260:0.390774:0.695260:0.390774:0.679590:0.124830:0.679590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5. :@0.096341:0.806193:0.115082:0.806193:0.115082:0.789057:0.096341:0.789057:0.000000:0.000000:0.000000
La  figura  representa  dos  cuadrados  que  miden :@0.124830:0.806193:0.489780:0.806193:0.489780:0.790523:0.124830:0.790523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11 × 11 que se han superpuesto para formar un :@0.124830:0.822789:0.489769:0.822789:0.489769:0.807119:0.124830:0.807119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectángulo de 11 × 18. ¿Cuál es el área de la re-:@0.124830:0.839385:0.485735:0.839385:0.485735:0.823716:0.124830:0.823716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gión sombreada?:@0.124830:0.855982:0.252163:0.855982:0.252163:0.840312:0.124830:0.840312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096341:0.241930:0.100247:0.241930:0.100247:0.225306:0.096341:0.225306:0.000000
Argumenta:@0.124830:0.241930:0.215328:0.241930:0.215328:0.225029:0.124830:0.225029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.215328:0.241930:0.219050:0.241930:0.219050:0.224794:0.215328:0.224794:0.000000
en tu cuaderno la solución.:@0.219050:0.241930:0.417662:0.241930:0.417662:0.226260:0.219050:0.226260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096341:0.415639:0.100247:0.415639:0.100247:0.399015:0.096341:0.399015:0.000000
Argumenta:@0.124830:0.415639:0.215328:0.415639:0.215328:0.398738:0.124830:0.398738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.215328:0.415639:0.219050:0.415639:0.219050:0.398503:0.215328:0.398503:0.000000
en tu cuaderno la solución.:@0.219050:0.415639:0.417662:0.415639:0.417662:0.399969:0.219050:0.399969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096341:0.590398:0.100247:0.590398:0.100247:0.573774:0.096341:0.573774:0.000000
Argumenta:@0.124830:0.590398:0.215328:0.590398:0.215328:0.573498:0.124830:0.573498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.215328:0.590398:0.219050:0.590398:0.219050:0.573263:0.215328:0.573263:0.000000
en tu cuaderno la solución.:@0.219050:0.590398:0.417662:0.590398:0.417662:0.574729:0.219050:0.574729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096341:0.736239:0.100247:0.736239:0.100247:0.719615:0.096341:0.719615:0.000000
Argumenta:@0.124830:0.736239:0.215328:0.736239:0.215328:0.719338:0.124830:0.719338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.215328:0.736239:0.219050:0.736239:0.219050:0.719103:0.215328:0.719103:0.000000
en tu cuaderno la solución.:@0.219050:0.736239:0.417662:0.736239:0.417662:0.720569:0.219050:0.720569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096341:0.892936:0.100247:0.892936:0.100247:0.876312:0.096341:0.876312:0.000000
Argumenta:@0.124830:0.892936:0.215328:0.892936:0.215328:0.876036:0.124830:0.876036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.215328:0.892936:0.219050:0.892936:0.219050:0.875801:0.215328:0.875801:0.000000
en tu cuaderno la solución.:@0.219050:0.892936:0.417662:0.892936:0.417662:0.877267:0.219050:0.877267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 cm:@0.762645:0.537431:0.792377:0.537431:0.792377:0.524610:0.762645:0.524610:0.000000:0.000000:0.000000:0.000000
4 cm:@0.737512:0.474561:0.767244:0.474561:0.767244:0.461740:0.737512:0.461740:0.000000:0.000000:0.000000:0.000000
Adaptado: http://www.ommenlinea.org/:@0.713261:0.927265:0.903641:0.927265:0.903641:0.917293:0.713261:0.917293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11 cm:@0.725097:0.778360:0.762186:0.778360:0.762186:0.765539:0.725097:0.765539:0.000000:0.000000:0.000000:0.000000:0.000000
11 cm:@0.810539:0.834938:0.847629:0.834938:0.847629:0.822118:0.810539:0.822118:0.000000:0.000000:0.000000:0.000000:0.000000
El área de la figura es 204 cm .:@0.122002:0.252186:0.261822:0.252186:0.261822:0.242214:0.122002:0.242214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.256447:0.248337:0.259783:0.248337:0.259783:0.242524:0.256447:0.242524:0.000000
El perímetro de la figura mide 152 cm.:@0.122005:0.428525:0.299522:0.428525:0.299522:0.418553:0.122005:0.418553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El perímetro del cuadrado grande es 80 cm.:@0.125359:0.606747:0.328838:0.606747:0.328838:0.596775:0.125359:0.596775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2a + b:@0.125359:0.748823:0.155004:0.748823:0.155004:0.738852:0.125359:0.738852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
44:@0.125359:0.905518:0.136804:0.905518:0.136804:0.895547:0.125359:0.895547:0.000000:0.000000