﻿129:@0.942817:0.964671:0.976116:0.964671:0.976116:0.945025:0.942817:0.945025:0.000000:0.000000:0.000000
M.3.2.9. Calcular, en la resolución de problemas, el perímetro y área de polígonos regulares, aplicando la fórmula correspondiente.:@0.105857:0.092104:0.736055:0.092104:0.736055:0.081525:0.105857:0.081525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.096359:0.131326:0.172815:0.131326:0.172815:0.114702:0.096359:0.114702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea un polígono regular de 6 lados, cuyos lados miden 3,1 cm y su apotema :@0.096359:0.156873:0.699124:0.156873:0.699124:0.139779:0.096359:0.139779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,7 cm. Calcular el área de la figura.:@0.096359:0.174979:0.374380:0.174979:0.374380:0.157884:0.096359:0.157884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.216495:0.163086:0.216495:0.163086:0.199871:0.096359:0.199871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.096359:0.417380:0.172815:0.417380:0.172815:0.400756:0.096359:0.400756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Lorena quiere pintar el siguiente diseño en una pared de su local. ¿Qué :@0.096359:0.442921:0.699190:0.442921:0.699190:0.425826:0.096359:0.425826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
superficie ocupa el color anaranjado y qué superficie ocupa el color verde?:@0.096359:0.461026:0.693807:0.461026:0.693807:0.443932:0.096359:0.443932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.479131:0.100762:0.479131:0.100762:0.462037:0.096359:0.462037:0.000000
Solución:@0.096359:0.642024:0.163086:0.642024:0.163086:0.625400:0.096359:0.625400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculamos el área del rectángulo.:@0.096359:0.667572:0.369553:0.667572:0.369553:0.650477:0.096359:0.650477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.112963:0.693273:0.123080:0.693273:0.123080:0.677700:0.112963:0.677700:0.000000
×:@0.141655:0.693273:0.151772:0.693273:0.151772:0.677700:0.141655:0.677700:0.000000
Ab:@0.100193:0.692596:0.135758:0.692596:0.135758:0.677202:0.100193:0.677202:0.000000:0.000000
a:@0.157964:0.692596:0.167233:0.692596:0.167233:0.677202:0.157964:0.677202:0.000000
      :@0.170069:0.696576:0.196485:0.696576:0.196485:0.679482:0.170069:0.679482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.200338:0.692452:0.210269:0.692452:0.210269:0.677003:0.200338:0.677003:0.000000
cm:@0.358837:0.692452:0.380845:0.692452:0.380845:0.677003:0.358837:0.677003:0.000000:0.000000
100:@0.226545:0.692452:0.253288:0.692452:0.253288:0.676726:0.226545:0.676726:0.000000:0.000000:0.000000
25 2 500:@0.275093:0.692452:0.350958:0.692452:0.350958:0.676726:0.275093:0.676726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.381046:0.684771:0.386264:0.684771:0.386264:0.675679:0.381046:0.675679:0.000000
=:@0.213631:0.693132:0.223784:0.693132:0.223784:0.677503:0.213631:0.677503:0.000000
×:@0.259091:0.693132:0.269244:0.693132:0.269244:0.677503:0.259091:0.677503:0.000000
=:@0.296080:0.693132:0.306233:0.693132:0.306233:0.677503:0.296080:0.677503:0.000000
Calculamos el área de un pentágono.:@0.096359:0.721810:0.393878:0.721810:0.393878:0.704716:0.096359:0.704716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.100547:0.755844:0.111342:0.755844:0.111342:0.739052:0.100547:0.739052:0.000000
PAp:@0.130807:0.746100:0.180077:0.746100:0.180077:0.729307:0.130807:0.729307:0.000000:0.000000:0.000000
2:@0.150804:0.767238:0.160614:0.767238:0.160614:0.750143:0.150804:0.750143:0.000000
=:@0.114473:0.756583:0.125509:0.756583:0.125509:0.739595:0.114473:0.739595:0.000000
×:@0.144104:0.746837:0.155141:0.746837:0.155141:0.729848:0.144104:0.729848:0.000000
    :@0.185154:0.770932:0.202764:0.770932:0.202764:0.753837:0.185154:0.753837:0.000000:0.000000:0.000000:0.000000
A:@0.206945:0.755844:0.217740:0.755844:0.217740:0.739052:0.206945:0.739052:0.000000
cm:@0.415090:0.755844:0.439012:0.755844:0.439012:0.739052:0.415090:0.739052:0.000000:0.000000
75 10,32:@0.236778:0.746097:0.315179:0.746097:0.315179:0.729003:0.236778:0.729003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.271284:0.767238:0.281094:0.767238:0.281094:0.750143:0.271284:0.750143:0.000000
774:@0.335938:0.746100:0.365007:0.746100:0.365007:0.729006:0.335938:0.729006:0.000000:0.000000:0.000000
2:@0.346199:0.767238:0.356009:0.767238:0.356009:0.750143:0.346199:0.750143:0.000000
387:@0.385462:0.755844:0.414531:0.755844:0.414531:0.738750:0.385462:0.738750:0.000000:0.000000:0.000000
2:@0.439227:0.747495:0.444898:0.747495:0.444898:0.737612:0.439227:0.737612:0.000000
=:@0.220869:0.756583:0.231906:0.756583:0.231906:0.739595:0.220869:0.739595:0.000000
×:@0.258040:0.746837:0.269076:0.746837:0.269076:0.729848:0.258040:0.729848:0.000000
=:@0.320017:0.756583:0.331053:0.756583:0.331053:0.739595:0.320017:0.739595:0.000000
=:@0.370696:0.756583:0.381733:0.756583:0.381733:0.739595:0.370696:0.739595:0.000000
Multiplicamos el área de un pentágono por cuatro pentágonos que tiene :@0.096352:0.796158:0.699016:0.796158:0.699016:0.779064:0.096352:0.779064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el diseño.:@0.096352:0.814263:0.171764:0.814270:0.171764:0.797176:0.096352:0.797169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
387 × 4 = 1 584 cm:@0.096358:0.839496:0.250648:0.839496:0.250648:0.822402:0.096358:0.822402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.250647:0.832588:0.255552:0.832588:0.255552:0.824041:0.250647:0.824041:0.000000
Ahora restamos  el valor  del área del  rectángulo menos  el área de  los :@0.096359:0.864736:0.699154:0.864736:0.699154:0.847642:0.096359:0.847642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polígonos.:@0.096359:0.882842:0.180490:0.882842:0.180490:0.865747:0.096359:0.865747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 500 – 1 584 = 952 cm:@0.096359:0.908068:0.282552:0.908068:0.282552:0.890974:0.096359:0.890974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.282548:0.901159:0.287454:0.901159:0.287454:0.892612:0.282548:0.892612:0.000000
El color anaranjado ocupa 952 cm  y el color verde ocupa una superficie de :@0.096359:0.933308:0.699125:0.933308:0.699125:0.916213:0.096359:0.916213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.367269:0.926392:0.372174:0.926392:0.372174:0.917845:0.367269:0.917845:0.000000
1 584 cm:@0.096362:0.951413:0.169838:0.951413:0.169838:0.934318:0.096362:0.934318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.169833:0.944498:0.174738:0.944498:0.174738:0.935951:0.169833:0.935951:0.000000
A:@0.375841:0.259429:0.386636:0.259429:0.386636:0.242636:0.375841:0.242636:0.000000
PAp:@0.406099:0.249685:0.455370:0.249685:0.455370:0.232892:0.406099:0.232892:0.000000:0.000000:0.000000
2:@0.426098:0.270824:0.435908:0.270824:0.435908:0.253730:0.426098:0.253730:0.000000
=:@0.389765:0.260168:0.400802:0.260168:0.400802:0.243180:0.389765:0.243180:0.000000
×:@0.419397:0.250422:0.430434:0.250422:0.430434:0.233433:0.419397:0.233433:0.000000
      :@0.460447:0.256909:0.486018:0.256909:0.486018:0.238774:0.460447:0.238774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P = 3,1 × 6  = 18,6 cm:@0.486018:0.256909:0.658561:0.256909:0.658561:0.239815:0.486018:0.239815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.375841:0.298405:0.386636:0.298405:0.386636:0.281613:0.375841:0.281613:0.000000
cm:@0.614402:0.298405:0.638324:0.298405:0.638324:0.281613:0.614402:0.281613:0.000000:0.000000
18,6 2,7:@0.404849:0.288659:0.481240:0.288659:0.481240:0.271564:0.404849:0.271564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.438976:0.309800:0.448786:0.309800:0.448786:0.292706:0.438976:0.292706:0.000000
50,22:@0.502844:0.288661:0.547533:0.288661:0.547533:0.271567:0.502844:0.271567:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.520278:0.309800:0.530089:0.309800:0.530089:0.292706:0.520278:0.292706:0.000000
25,11:@0.567131:0.298405:0.609709:0.298405:0.609709:0.281311:0.567131:0.281311:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.638539:0.290056:0.644210:0.290056:0.644210:0.280173:0.638539:0.280173:0.000000
=:@0.389765:0.299145:0.400802:0.299145:0.400802:0.282156:0.389765:0.282156:0.000000
×:@0.442958:0.289398:0.453994:0.289398:0.453994:0.272409:0.442958:0.272409:0.000000
=:@0.486521:0.299145:0.497557:0.299145:0.497557:0.282156:0.486521:0.282156:0.000000
=:@0.552378:0.299145:0.563414:0.299145:0.563414:0.282156:0.552378:0.282156:0.000000
3,1 cm:@0.270096:0.255222:0.314222:0.255222:0.314222:0.240977:0.270096:0.240977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,7 cm:@0.108704:0.319370:0.152830:0.319370:0.152830:0.305124:0.108704:0.305124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
15 cm:@0.138148:0.583853:0.179359:0.583853:0.179359:0.569608:0.138148:0.569608:0.000000:0.000000:0.000000:0.000000:0.000000
100 cm:@0.355574:0.614482:0.411961:0.614482:0.411961:0.598218:0.355574:0.598218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
25  cm:@0.665151:0.501742:0.665151:0.540200:0.686822:0.540200:0.686822:0.501742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10, 32 ap:@0.279317:0.581397:0.331082:0.581397:0.331082:0.567152:0.279317:0.567152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 1015066276:@0.927754:0.870961:0.927754:0.793314:0.916365:0.793314:0.916365:0.870961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y arte:@0.732806:0.636869:0.860292:0.636869:0.860292:0.621505:0.732806:0.621505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los polígonos están :@0.732806:0.651957:0.869707:0.651957:0.869707:0.637712:0.732806:0.637712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presentes en nuestra :@0.732806:0.667045:0.875820:0.667045:0.875820:0.652799:0.732806:0.652799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vida diaria, cuando, por :@0.732806:0.682132:0.891265:0.682132:0.891265:0.667887:0.732806:0.667887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo, observamos :@0.732806:0.697220:0.880058:0.697220:0.880058:0.682975:0.732806:0.682975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
teselados que recubren :@0.732806:0.712308:0.893276:0.712308:0.893276:0.698062:0.732806:0.698062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una superficie con :@0.732806:0.727395:0.859854:0.727395:0.859854:0.713150:0.732806:0.713150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polígonos regulares sin :@0.732806:0.742483:0.891098:0.742483:0.891098:0.728238:0.732806:0.728238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que queden espacios o :@0.732806:0.757570:0.892172:0.757570:0.892172:0.743325:0.732806:0.743325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sin que se superpongan.:@0.732806:0.772658:0.896340:0.772658:0.896340:0.758413:0.732806:0.758413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.758925:0.611466:0.905240:0.611466:0.905240:0.594690:0.758925:0.594690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teselado de un plano con :@0.732806:0.891712:0.890739:0.891712:0.890739:0.878891:0.732806:0.878891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulos equiláteros.:@0.732806:0.905291:0.865393:0.905291:0.865393:0.892470:0.732806:0.892470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa :@0.732290:0.190005:0.786987:0.190005:0.786987:0.174892:0.732290:0.174892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al siguiente :@0.786987:0.190005:0.867046:0.190005:0.867046:0.175759:0.786987:0.175759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace y :@0.732290:0.205092:0.790856:0.205092:0.790856:0.190847:0.732290:0.190847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encuentra :@0.790856:0.205092:0.865472:0.205092:0.865472:0.189979:0.790856:0.189979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejercicios acerca de áreas :@0.732290:0.220180:0.903280:0.220180:0.903280:0.205935:0.732290:0.205935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de polígonos::@0.732290:0.236525:0.823490:0.236525:0.823490:0.222279:0.732290:0.222279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/7m17:@0.732290:0.259652:0.826696:0.259652:0.826696:0.243770:0.732290:0.243770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.780843:0.153494:0.881954:0.153494:0.881954:0.136718:0.780843:0.136718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
digital:@0.780843:0.167324:0.828589:0.167324:0.828589:0.150548:0.780843:0.150548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000