76:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
1.:@0.115209:0.571018:0.132958:0.571018:0.132958:0.550767:0.115209:0.550767:0.000000:0.000000
 :@0.132958:0.571018:0.137575:0.571018:0.137575:0.551372:0.132958:0.551372:0.000000
Calcula :@0.148451:0.571018:0.218576:0.571018:0.218576:0.551372:0.148451:0.551372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el perímetro de los siguientes cuadriláteros. :@0.218574:0.571018:0.599119:0.571018:0.599119:0.551650:0.218574:0.551650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)   :@0.148451:0.597760:0.186201:0.597760:0.186201:0.577786:0.148451:0.577786:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.235827:0.597760:0.240335:0.597760:0.240335:0.577786:0.235827:0.577786:0.000000
 :@0.296134:0.597760:0.300643:0.597760:0.300643:0.577786:0.296134:0.577786:0.000000
 :@0.356445:0.597760:0.360953:0.597760:0.360953:0.577786:0.356445:0.577786:0.000000
 :@0.416753:0.597760:0.421261:0.597760:0.421261:0.577786:0.416753:0.577786:0.000000
        b):@0.477061:0.597760:0.532288:0.597760:0.532288:0.577786:0.477061:0.577786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.532286:0.597760:0.546595:0.597760:0.546595:0.578391:0.532286:0.578391:0.000000:0.000000:0.000000
2. :@0.115209:0.835542:0.137357:0.835542:0.137357:0.815291:0.115209:0.815291:0.000000:0.000000:0.000000
Mide:@0.148451:0.835542:0.194511:0.835542:0.194511:0.815895:0.148451:0.815895:0.000000:0.000000:0.000000:0.000000
 con una regla cada lado de las figuras y :@0.194510:0.835542:0.543678:0.835542:0.543678:0.816173:0.194510:0.816173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcula:@0.543673:0.835542:0.606459:0.835542:0.606459:0.815895:0.543673:0.815895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 su perímetro. :@0.606458:0.835542:0.730460:0.835542:0.730460:0.816173:0.606458:0.816173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.527266:0.236739:0.527266:0.236739:0.493318:0.175844:0.493318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.3.8.1. Deduce, a partir del análisis de los elementos de polígonos regulares e irregulares y el círculo, fórmulas de perímetro y área; :@0.256865:0.510012:0.877789:0.510012:0.877789:0.499582:0.256865:0.499582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.875148:0.510012:0.877716:0.510012:0.877716:0.499582:0.875148:0.499582:0.000000
y las aplica en la solución de problemas geométricos y la descripción de objetos culturales o naturales del entorno. (I.2., I.3.):@0.256865:0.520573:0.828909:0.520573:0.828909:0.510144:0.256865:0.510144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El perímetro es la medida del contorno de una figura.:@0.115209:0.170271:0.576768:0.170271:0.576768:0.150903:0.115209:0.150903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El perímetro de un cuadrilátero se obtiene al sumar la medida de sus cuatro lados.  :@0.115209:0.197013:0.833285:0.197013:0.833285:0.177644:0.115209:0.177644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El perímetro se representa con la letra P.:@0.115209:0.216627:0.458491:0.216627:0.458491:0.197258:0.115209:0.197258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La fórmula general es:  :@0.115209:0.244637:0.330897:0.244637:0.330897:0.224663:0.115209:0.224663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P = a + b + c + d:@0.372641:0.243059:0.507773:0.243059:0.507773:0.224622:0.372641:0.224622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuadrado y rombo:  :@0.115209:0.272646:0.300643:0.272646:0.300643:0.252672:0.115209:0.252672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P = 4   l:@0.406313:0.271068:0.474099:0.271068:0.474099:0.252631:0.406313:0.252631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.452790:0.271068:0.464771:0.271068:0.464771:0.253189:0.452790:0.253189:0.000000
Rectángulo y romboide::@0.115209:0.299397:0.340763:0.299397:0.340763:0.279424:0.115209:0.279424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.340761:0.299397:0.350300:0.299397:0.350300:0.280029:0.340761:0.280029:0.000000:0.000000
P = 2   (a + b):@0.381768:0.299078:0.498642:0.299078:0.498642:0.280641:0.381768:0.280641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.428244:0.299078:0.440225:0.299078:0.440225:0.281199:0.428244:0.281199:0.000000
Actividad resuelta:@0.115209:0.335090:0.298518:0.335090:0.298518:0.313580:0.115209:0.313580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculamos:@0.115209:0.357954:0.219461:0.357954:0.219461:0.338307:0.115209:0.338307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el perímetro del romboide.:@0.219461:0.357954:0.457099:0.357954:0.457099:0.338585:0.219461:0.338585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Perímetro de cuadriláteros:@0.115891:0.141978:0.506992:0.141978:0.506992:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.054033:0.122645:0.076478:0.122645:0.076478:0.065614:0.054033:0.065614:0.000000
Calcular el perímetro de paralelogramos y trapecios en la resolución de problemas. Ref. (M.3.2.4.):@0.125388:0.074999:0.572999:0.074999:0.572999:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b :@0.270723:0.382256:0.282165:0.382256:0.282165:0.367382:0.270723:0.367382:0.000000:0.000000
= 6 cm:@0.282165:0.382256:0.328854:0.382256:0.328854:0.367357:0.282165:0.367357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b :@0.228790:0.472446:0.240232:0.472446:0.240232:0.457572:0.228790:0.457572:0.000000:0.000000
= 6 cm:@0.240232:0.472446:0.286921:0.472446:0.286921:0.457547:0.240232:0.457547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.130968:0.435506:0.142410:0.435506:0.142410:0.420633:0.130968:0.420633:0.000000:0.000000
= 5 cm:@0.142410:0.435506:0.189099:0.435506:0.189099:0.420607:0.142410:0.420607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.353503:0.435506:0.364945:0.435506:0.364945:0.420633:0.353503:0.420633:0.000000:0.000000
= 5 cm:@0.364943:0.435506:0.411632:0.435506:0.411632:0.420607:0.364943:0.420607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 m:@0.577562:0.611511:0.603126:0.611511:0.603126:0.596612:0.577562:0.596612:0.000000:0.000000:0.000000
3 m:@0.287006:0.596493:0.312570:0.596493:0.312570:0.581593:0.287006:0.581593:0.000000:0.000000:0.000000
5 m:@0.283709:0.678695:0.309274:0.678695:0.309274:0.663796:0.283709:0.663796:0.000000:0.000000:0.000000
4 m:@0.185438:0.637594:0.211002:0.637594:0.211002:0.622695:0.185438:0.622695:0.000000:0.000000:0.000000
4 m:@0.383604:0.637594:0.409168:0.637594:0.409168:0.622695:0.383604:0.622695:0.000000:0.000000:0.000000
P = 2 × (a + b):@0.521900:0.391228:0.644467:0.391228:0.644467:0.371859:0.521900:0.371859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P = 2 × (5 cm + 6 cm):@0.521900:0.417970:0.708451:0.417970:0.708451:0.398601:0.521900:0.398601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P = 2 × 11 cm :@0.521900:0.444712:0.646841:0.444712:0.646841:0.425344:0.521900:0.425344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P = 22 cm:@0.521900:0.471454:0.608925:0.471454:0.608925:0.452085:0.521900:0.452085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P =:@0.143229:0.721849:0.184864:0.721849:0.184864:0.702480:0.143229:0.702480:0.000000:0.000000:0.000000
P =:@0.518375:0.723106:0.560705:0.723106:0.560705:0.703738:0.518375:0.703738:0.000000:0.000000:0.000000
Shutterstock, (2021). 1500256499:@0.896371:0.340511:0.896371:0.224619:0.882475:0.224619:0.882475:0.340511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.933104:0.690727:0.933104:0.681663:0.915057:0.681663:0.915057:0.690727:0.000000
maya:@0.934326:0.681663:0.934326:0.645544:0.909338:0.645544:0.909338:0.681663:0.000000:0.000000:0.000000:0.000000
®:@0.926506:0.645544:0.926506:0.641915:0.915984:0.641915:0.915984:0.645544:0.000000
 EDUCACIÓN – Ejemplar sin valor comercial – Prohibida su venta:@0.933104:0.641915:0.933104:0.327090:0.915057:0.327090:0.915057:0.641915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 m:@0.754435:0.604036:0.785112:0.604036:0.785112:0.586157:0.754435:0.586157:0.000000:0.000000:0.000000
3 m:@0.765096:0.663196:0.795773:0.663196:0.795773:0.645317:0.765096:0.645317:0.000000:0.000000:0.000000
3 m:@0.539825:0.663196:0.570502:0.663196:0.570502:0.645317:0.539825:0.645317:0.000000:0.000000:0.000000
P    = (2 × 4 m) + 3 m + 5 m:@0.142725:0.743264:0.396550:0.744555:0.396550:0.725186:0.142725:0.723895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P    = 8 m + 8 m:@0.142725:0.766944:0.296110:0.766558:0.296110:0.747189:0.142725:0.747575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P    = 16 m:@0.142725:0.788110:0.250985:0.788560:0.250985:0.769192:0.142725:0.768741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P    = 4 × 3 m :@0.515966:0.745778:0.650292:0.744555:0.650292:0.725186:0.515966:0.726409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P    = 12 m:@0.515966:0.768201:0.623004:0.766558:0.623004:0.747189:0.515966:0.748832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 m + 4 m + 3 m + 5 m:@0.207126:0.722552:0.407613:0.722552:0.407613:0.703183:0.207126:0.703183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 × l:@0.579143:0.722552:0.616906:0.722552:0.616906:0.703183:0.579143:0.703183:0.000000:0.000000:0.000000:0.000000:0.000000