137:@0.942817:0.964671:0.976116:0.964671:0.976116:0.945025:0.942817:0.945025:0.000000:0.000000:0.000000
M.3.2.4. Calcular el área de paralelogramos y trapecios en la resolución de problemas. (Destreza desagregada).:@0.109207:0.085603:0.642764:0.085603:0.642764:0.075024:0.109207:0.075024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.3.2.6. Calcular el área de triángulos en la resolución de problemas. (Destreza desagregada).:@0.105853:0.096165:0.557136:0.096165:0.557136:0.085586:0.105853:0.085586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fórmulas para calcular el área de cuadriláteros:@0.096359:0.136254:0.564455:0.136254:0.564455:0.114744:0.096359:0.114744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura:@0.177350:0.168112:0.237022:0.168112:0.237022:0.148139:0.177350:0.148139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Nombre:@0.357020:0.168112:0.434027:0.168112:0.434027:0.148139:0.357020:0.148139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Área:@0.562169:0.168112:0.605769:0.168112:0.605769:0.148139:0.562169:0.148139:0.000000:0.000000:0.000000:0.000000
I:@0.247105:0.219681:0.251635:0.219681:0.251635:0.201489:0.247105:0.201489:0.000000
Cuadrado:@0.352877:0.219682:0.438182:0.219682:0.438182:0.201163:0.352877:0.201163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AI I:@0.557172:0.217010:0.609822:0.217010:0.609822:0.200218:0.557172:0.200218:0.000000:0.000000:0.000000:0.000000
=×:@0.570993:0.217749:0.603761:0.217749:0.603761:0.200761:0.570993:0.200761:0.000000:0.000000
h:@0.257484:0.289734:0.268721:0.289734:0.268721:0.271542:0.257484:0.271542:0.000000
b:@0.194893:0.321214:0.205848:0.321214:0.205848:0.303022:0.194893:0.303022:0.000000
Rectángulo:@0.345750:0.296304:0.445276:0.296304:0.445276:0.277786:0.345750:0.277786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ab h:@0.552146:0.293636:0.616435:0.293636:0.616435:0.276844:0.552146:0.276844:0.000000:0.000000:0.000000:0.000000
=×:@0.565967:0.294376:0.603761:0.294376:0.603761:0.277387:0.565967:0.277387:0.000000:0.000000
D:@0.215457:0.360570:0.230139:0.360570:0.230139:0.340979:0.215457:0.340979:0.000000
d:@0.188626:0.379580:0.200423:0.379580:0.200423:0.359989:0.188626:0.359989:0.000000
Rombo:@0.363461:0.372934:0.427597:0.372934:0.427597:0.354416:0.363461:0.354416:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.547958:0.370891:0.558754:0.370891:0.558754:0.354099:0.547958:0.354099:0.000000
Dd:@0.578007:0.361108:0.618796:0.361108:0.618796:0.344316:0.578007:0.344316:0.000000:0.000000
2:@0.594190:0.382321:0.604000:0.382321:0.604000:0.365227:0.594190:0.365227:0.000000
=:@0.561779:0.371631:0.572816:0.371631:0.572816:0.354642:0.561779:0.354642:0.000000
×:@0.594185:0.361854:0.605221:0.361854:0.605221:0.344865:0.594185:0.344865:0.000000
h:@0.172447:0.438044:0.184549:0.438044:0.184549:0.418452:0.172447:0.418452:0.000000
b:@0.197753:0.472878:0.209550:0.472878:0.209550:0.453287:0.197753:0.453287:0.000000
Romboide:@0.349980:0.449561:0.441078:0.449561:0.441078:0.431042:0.349980:0.431042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ab h:@0.552146:0.446889:0.616435:0.446889:0.616435:0.430096:0.552146:0.430096:0.000000:0.000000:0.000000:0.000000
=×:@0.565967:0.447628:0.603761:0.447628:0.603761:0.430639:0.565967:0.430639:0.000000:0.000000
h:@0.177982:0.524264:0.190084:0.524264:0.190084:0.504673:0.177982:0.504673:0.000000
b:@0.201412:0.500290:0.213209:0.500290:0.213209:0.480699:0.201412:0.480699:0.000000
B:@0.201412:0.557462:0.212669:0.557462:0.212669:0.537871:0.201412:0.537871:0.000000
Trapecio:@0.358527:0.528090:0.432529:0.528090:0.432529:0.509572:0.358527:0.509572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.537069:0.526047:0.547865:0.526047:0.547865:0.509255:0.537069:0.509255:0.000000
Bb:@0.567123:0.516270:0.604555:0.516270:0.604555:0.499478:0.567123:0.499478:0.000000:0.000000
h:@0.621461:0.526047:0.631834:0.526047:0.631834:0.509255:0.621461:0.509255:0.000000
2:@0.581200:0.537480:0.591010:0.537480:0.591010:0.520386:0.581200:0.520386:0.000000
=:@0.550890:0.526786:0.561926:0.526786:0.561926:0.509798:0.550890:0.509798:0.000000
+:@0.580361:0.517010:0.591397:0.517010:0.591397:0.500021:0.580361:0.500021:0.000000
×:@0.608103:0.526786:0.619139:0.526786:0.619139:0.509798:0.608103:0.509798:0.000000
Ejemplo 1:@0.096359:0.602466:0.186717:0.602466:0.186717:0.582819:0.096359:0.582819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular el área de las figuras geométricas.:@0.096359:0.631031:0.488680:0.631031:0.488680:0.611087:0.096359:0.611087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d = 3 Cm:@0.227250:0.670076:0.227250:0.708166:0.244548:0.708166:0.244548:0.670076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D = 4 Cm:@0.258091:0.713769:0.258091:0.753040:0.275390:0.753040:0.275390:0.713769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.179047:0.818173:0.190436:0.818173:0.190436:0.800458:0.179047:0.800458:0.000000
Dd:@0.211432:0.807939:0.254293:0.807939:0.254293:0.790223:0.211432:0.790223:0.000000:0.000000
A:@0.179047:0.860306:0.190436:0.860306:0.190436:0.842590:0.179047:0.842590:0.000000
cm:@0.229691:0.850071:0.254908:0.850071:0.254908:0.832355:0.229691:0.832355:0.000000:0.000000
cm:@0.282520:0.850071:0.307737:0.850071:0.307737:0.832355:0.282520:0.832355:0.000000:0.000000
A:@0.179047:0.904539:0.190436:0.904539:0.190436:0.886823:0.179047:0.886823:0.000000
cm:@0.230752:0.894304:0.255968:0.894304:0.255968:0.876588:0.230752:0.876588:0.000000:0.000000
A:@0.179047:0.938545:0.190436:0.938545:0.190436:0.920830:0.179047:0.920830:0.000000
cm:@0.221123:0.938545:0.246340:0.938545:0.246340:0.920830:0.221123:0.920830:0.000000:0.000000
2:@0.228375:0.830182:0.238724:0.830182:0.238724:0.812148:0.228375:0.812148:0.000000
(4:@0.210963:0.850078:0.228693:0.850078:0.228693:0.832044:0.210963:0.832044:0.000000:0.000000
3:@0.272494:0.850079:0.282843:0.850079:0.282843:0.832045:0.272494:0.832045:0.000000
):@0.308462:0.850079:0.314082:0.850079:0.314082:0.832045:0.308462:0.832045:0.000000
2:@0.257487:0.872319:0.267836:0.872319:0.267836:0.854285:0.257487:0.854285:0.000000
12:@0.210109:0.894316:0.230595:0.894316:0.230595:0.876282:0.210109:0.876282:0.000000:0.000000
2:@0.232886:0.916552:0.243235:0.916552:0.243235:0.898518:0.232886:0.898518:0.000000
6:@0.210195:0.938545:0.220544:0.938545:0.220544:0.920511:0.210195:0.920511:0.000000
2:@0.256209:0.885492:0.262192:0.885492:0.262192:0.875066:0.256209:0.875066:0.000000
2:@0.246596:0.929725:0.252579:0.929725:0.252579:0.919300:0.246596:0.919300:0.000000
=:@0.193958:0.818953:0.205601:0.818953:0.205601:0.801031:0.193958:0.801031:0.000000
×:@0.228421:0.808719:0.240064:0.808719:0.240064:0.790796:0.228421:0.790796:0.000000
=:@0.193958:0.861085:0.205601:0.861085:0.205601:0.843163:0.193958:0.843163:0.000000
×:@0.257730:0.850851:0.269374:0.850851:0.269374:0.832928:0.257730:0.832928:0.000000
=:@0.193958:0.905319:0.205601:0.905319:0.205601:0.887396:0.193958:0.887396:0.000000
=:@0.193958:0.939325:0.205601:0.939325:0.205601:0.921402:0.193958:0.921402:0.000000
4 m:@0.516102:0.676319:0.551892:0.676319:0.551892:0.656375:0.516102:0.656375:0.000000:0.000000:0.000000
3 m:@0.455545:0.711470:0.491335:0.711470:0.491335:0.691527:0.455545:0.691527:0.000000:0.000000:0.000000
6 m:@0.543120:0.746622:0.578910:0.746622:0.578910:0.726678:0.543120:0.726678:0.000000:0.000000:0.000000
=:@0.474640:0.793901:0.486014:0.793901:0.486014:0.776393:0.474640:0.776393:0.000000
+:@0.510812:0.783763:0.522186:0.783763:0.522186:0.766255:0.510812:0.766255:0.000000
×:@0.546508:0.793901:0.557881:0.793901:0.557881:0.776393:0.546508:0.776393:0.000000
=:@0.474640:0.835338:0.486014:0.835338:0.486014:0.817830:0.474640:0.817830:0.000000
+:@0.527117:0.825200:0.538490:0.825200:0.538490:0.807693:0.527117:0.807693:0.000000
×:@0.579966:0.835338:0.591340:0.835338:0.591340:0.817830:0.579966:0.817830:0.000000
=:@0.474619:0.876775:0.485993:0.876775:0.485993:0.859268:0.474619:0.859268:0.000000
×:@0.542820:0.876775:0.554194:0.876775:0.554194:0.859268:0.542820:0.859268:0.000000
=:@0.474619:0.908075:0.485993:0.908075:0.485993:0.890567:0.474619:0.890567:0.000000
×:@0.530120:0.908075:0.541494:0.908075:0.541494:0.890567:0.530120:0.890567:0.000000
A:@0.460511:0.793123:0.471636:0.793123:0.471636:0.775818:0.460511:0.775818:0.000000
Bb:@0.497139:0.782986:0.535714:0.782986:0.535714:0.765680:0.497139:0.765680:0.000000:0.000000
h:@0.561424:0.793123:0.572114:0.793123:0.572114:0.775818:0.561424:0.775818:0.000000
A:@0.460511:0.834561:0.471636:0.834561:0.471636:0.817255:0.460511:0.817255:0.000000
m:@0.507808:0.824423:0.524257:0.824423:0.524257:0.807117:0.507808:0.807117:0.000000
m:@0.553137:0.824423:0.569587:0.824423:0.569587:0.807117:0.553137:0.807117:0.000000
m:@0.609778:0.834561:0.626227:0.834561:0.626227:0.817255:0.609778:0.817255:0.000000
A:@0.460511:0.875998:0.471636:0.875998:0.471636:0.858692:0.460511:0.858692:0.000000
m:@0.516012:0.865860:0.532462:0.865860:0.532462:0.848554:0.516012:0.848554:0.000000
m:@0.572653:0.875998:0.589102:0.875998:0.589102:0.858692:0.572653:0.858692:0.000000
A:@0.460511:0.907297:0.471636:0.907297:0.471636:0.889992:0.460511:0.889992:0.000000
m:@0.504908:0.907297:0.521357:0.907297:0.521357:0.889992:0.504908:0.889992:0.000000
m:@0.559932:0.907297:0.576382:0.907297:0.576382:0.889992:0.559932:0.889992:0.000000
(:@0.490758:0.782970:0.496248:0.782970:0.496248:0.765354:0.490758:0.765354:0.000000
):@0.536812:0.782970:0.542302:0.782970:0.542302:0.765354:0.536812:0.765354:0.000000
2:@0.511620:0.804971:0.521730:0.804971:0.521730:0.787355:0.511620:0.787355:0.000000
(6:@0.490758:0.824407:0.507663:0.824407:0.507663:0.806791:0.490758:0.806791:0.000000:0.000000
4):@0.542468:0.824407:0.575802:0.824407:0.575802:0.806791:0.542468:0.806791:0.000000:0.000000
2:@0.528360:0.846409:0.538469:0.846409:0.538469:0.828792:0.528360:0.828792:0.000000
(3 ):@0.594033:0.834545:0.632443:0.834545:0.632443:0.816928:0.594033:0.816928:0.000000:0.000000:0.000000:0.000000
(10):@0.490758:0.865845:0.538656:0.865845:0.538656:0.848228:0.490758:0.848228:0.000000:0.000000:0.000000:0.000000
2:@0.509797:0.887846:0.519907:0.887846:0.519907:0.870229:0.509797:0.870229:0.000000
(3 ):@0.556866:0.875982:0.595276:0.875982:0.595276:0.858366:0.556866:0.858366:0.000000:0.000000:0.000000:0.000000
(5 )(3):@0.489121:0.907282:0.582556:0.907282:0.582556:0.889665:0.489121:0.889665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.509289:0.939454:0.520914:0.939454:0.520914:0.921370:0.509289:0.921370:0.000000
m:@0.559450:0.939454:0.576640:0.939454:0.576640:0.921370:0.559450:0.921370:0.000000
15:@0.539295:0.939454:0.560208:0.939454:0.560208:0.921045:0.539295:0.921045:0.000000:0.000000
2:@0.576893:0.930450:0.583001:0.930450:0.583001:0.919807:0.576893:0.919807:0.000000
=:@0.524510:0.940250:0.536396:0.940250:0.536396:0.921954:0.524510:0.921954:0.000000
Los lados paralelos :@0.732687:0.206399:0.873651:0.206399:0.873651:0.190017:0.732687:0.190017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los trapecios se :@0.732687:0.222737:0.870915:0.222737:0.870915:0.206355:0.732687:0.206355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llaman bases. La de :@0.732687:0.239076:0.877831:0.239076:0.877831:0.222694:0.732687:0.222694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor medida es la :@0.732687:0.255414:0.879912:0.255414:0.879912:0.239032:0.732687:0.239032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
base mayor (B) y la de :@0.732687:0.271753:0.895575:0.271753:0.895575:0.255371:0.732687:0.255371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
menor medida es la :@0.732687:0.288092:0.882609:0.288092:0.882609:0.271710:0.732687:0.271710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
base menor (b).:@0.732687:0.304430:0.847219:0.304430:0.847219:0.288048:0.732687:0.288048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.842353:0.356186:0.851333:0.356186:0.851333:0.341941:0.842353:0.341941:0.000000
b:@0.814125:0.326426:0.823373:0.326426:0.823373:0.312180:0.814125:0.312180:0.000000
B:@0.810289:0.383633:0.818749:0.383633:0.818749:0.369387:0.810289:0.369387:0.000000
4 m:@0.790200:0.409611:0.815094:0.409611:0.815094:0.395366:0.790200:0.395366:0.000000:0.000000:0.000000
3 m:@0.743393:0.437837:0.768288:0.437837:0.768288:0.423592:0.743393:0.423592:0.000000:0.000000:0.000000
6 m:@0.812966:0.468742:0.837860:0.468742:0.837860:0.454497:0.812966:0.454497:0.000000:0.000000:0.000000
    :@0.751053:0.481341:0.766773:0.481341:0.766773:0.464959:0.751053:0.464959:0.000000:0.000000:0.000000:0.000000
h:@0.784005:0.519679:0.792984:0.519679:0.792984:0.505434:0.784005:0.505434:0.000000
b:@0.807207:0.490296:0.816454:0.490296:0.816454:0.476051:0.807207:0.476051:0.000000
B:@0.817359:0.548886:0.825819:0.548886:0.825819:0.534641:0.817359:0.534641:0.000000
Competencia :@0.782664:0.167368:0.883775:0.167368:0.883775:0.150592:0.782664:0.150592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.782664:0.181198:0.870693:0.181198:0.870693:0.164422:0.782664:0.164422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 2093940613:@0.919419:0.945543:0.919419:0.867895:0.908031:0.867895:0.908031:0.945543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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