105:@0.942817:0.963100:0.970993:0.963100:0.970993:0.946476:0.942817:0.946476:0.000000:0.000000:0.000000
M.3.2.4. Calcular el perímetro; deducir y calcular el área de paralelogramos y trapecios en la resolución de problemas.:@0.105857:0.092104:0.672425:0.092104:0.672425:0.081525:0.105857:0.081525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Área de paralelogramos y trapecios:@0.096359:0.132503:0.376732:0.132503:0.376732:0.115603:0.096359:0.115603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura:@0.261062:0.171896:0.311554:0.171896:0.311554:0.154995:0.261062:0.154995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Deducción de la:@0.514036:0.163597:0.641298:0.163597:0.641298:0.146697:0.514036:0.146697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fórmula del área:@0.512654:0.180194:0.642696:0.180194:0.642696:0.163293:0.512654:0.163293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuadrado:@0.123519:0.263753:0.123519:0.209580:0.101683:0.209580:0.101683:0.263753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12 dm:@0.231871:0.203566:0.274723:0.203566:0.274723:0.188667:0.231871:0.188667:0.000000:0.000000:0.000000:0.000000:0.000000
l:@0.251572:0.223469:0.255023:0.223469:0.255023:0.208595:0.251572:0.208595:0.000000
l:@0.306637:0.260949:0.310088:0.260949:0.310088:0.246075:0.306637:0.246075:0.000000
  12 dm:@0.310088:0.260949:0.360278:0.260949:0.360278:0.246050:0.310088:0.246050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se multiplica la medida del lado :@0.452513:0.212118:0.690690:0.212118:0.690690:0.195729:0.452513:0.195729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al cuadrado.:@0.452513:0.228714:0.541721:0.228714:0.541721:0.212325:0.452513:0.212325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A = l × l:@0.452513:0.261907:0.509215:0.261907:0.509215:0.245518:0.452513:0.245518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A = 12 cm × 12 cm = 144 cm:@0.452513:0.278503:0.665445:0.278503:0.665445:0.262115:0.452513:0.262115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.665441:0.272456:0.670684:0.272456:0.670684:0.262901:0.665441:0.262901:0.000000
Rectángulo:@0.123519:0.373094:0.123519:0.309889:0.101683:0.309889:0.101683:0.373094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
15 cm:@0.236759:0.315051:0.277970:0.315051:0.277970:0.300152:0.236759:0.300152:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.253143:0.334954:0.261569:0.334954:0.261569:0.320080:0.253143:0.320080:0.000000
a:@0.344360:0.365116:0.352786:0.365116:0.352786:0.350243:0.344360:0.350243:0.000000
  6 cm:@0.352786:0.365116:0.393159:0.365116:0.393159:0.350217:0.352786:0.350217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se calcula multiplicando la :@0.452513:0.308646:0.651827:0.308646:0.651827:0.292257:0.452513:0.292257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medida de la base por la medida :@0.452513:0.325242:0.696624:0.325242:0.696624:0.308853:0.452513:0.308853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la altura.:@0.452513:0.341839:0.536580:0.341839:0.536580:0.325450:0.452513:0.325450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A = b × a:@0.452513:0.375032:0.519940:0.375032:0.519940:0.358643:0.452513:0.358643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A= 15 cm × 6 cm = 90 cm:@0.452513:0.391628:0.643424:0.391628:0.643424:0.375239:0.452513:0.375239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.643420:0.385581:0.648663:0.385581:0.648663:0.376026:0.643420:0.376026:0.000000
Rombo:@0.123519:0.500369:0.123519:0.459639:0.101683:0.459639:0.101683:0.500369:0.000000:0.000000:0.000000:0.000000:0.000000
b  D:@0.197116:0.454444:0.232698:0.454444:0.232698:0.439570:0.197116:0.439570:0.000000:0.000000:0.000000:0.000000
 =  = 8 cm:@0.205543:0.454444:0.283056:0.454444:0.283056:0.439545:0.205543:0.439545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.332928:0.495935:0.341354:0.495935:0.341354:0.481061:0.332928:0.481061:0.000000
 =   = 4 cm:@0.341354:0.495935:0.417461:0.495935:0.417461:0.481036:0.341354:0.481036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.358676:0.495935:0.367103:0.495935:0.367103:0.481061:0.358676:0.481061:0.000000
d:@0.230750:0.482585:0.239176:0.482585:0.239176:0.467711:0.230750:0.467711:0.000000
D:@0.255309:0.488306:0.265796:0.488306:0.265796:0.473432:0.255309:0.473432:0.000000
El área del rombo es igual a la :@0.452513:0.427872:0.665205:0.427872:0.665205:0.411483:0.452513:0.411483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un rectángulo con la base :@0.452513:0.444468:0.662457:0.444468:0.662457:0.428080:0.452513:0.428080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(Diagonal mayor) y la altura :@0.452513:0.461065:0.649615:0.461065:0.649615:0.444676:0.452513:0.444676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(diagonal menor) dividida para dos.:@0.452513:0.477661:0.702687:0.477661:0.702687:0.461272:0.452513:0.461272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.456701:0.504630:0.467497:0.504630:0.467497:0.486782:0.456701:0.486782:0.000000
Dd:@0.486750:0.494847:0.527539:0.494847:0.527539:0.476999:0.486750:0.476999:0.000000:0.000000
2:@0.502933:0.516060:0.512743:0.516060:0.512743:0.498182:0.502933:0.498182:0.000000
=:@0.470522:0.505370:0.481559:0.505370:0.481559:0.488381:0.470522:0.488381:0.000000
×:@0.502928:0.495593:0.513964:0.495593:0.513964:0.478604:0.502928:0.478604:0.000000
A:@0.456701:0.549620:0.467497:0.549620:0.467497:0.531772:0.456701:0.531772:0.000000
cm:@0.570926:0.549620:0.594848:0.549620:0.594848:0.531772:0.570926:0.531772:0.000000:0.000000
84:@0.486755:0.539844:0.524307:0.539844:0.524307:0.521965:0.486755:0.521965:0.000000:0.000000
2:@0.501048:0.561057:0.510858:0.561057:0.510858:0.543178:0.501048:0.543178:0.000000
16:@0.543289:0.549620:0.562729:0.549620:0.562729:0.531742:0.543289:0.531742:0.000000:0.000000
2:@0.595064:0.541271:0.600736:0.541271:0.600736:0.530935:0.595064:0.530935:0.000000
=:@0.470522:0.550360:0.481559:0.550360:0.481559:0.533371:0.470522:0.533371:0.000000
×:@0.499571:0.540583:0.510607:0.540583:0.510607:0.523594:0.499571:0.523594:0.000000
=:@0.529886:0.550360:0.540922:0.550360:0.540922:0.533371:0.529886:0.533371:0.000000
cm:@0.569805:0.549424:0.593116:0.549424:0.593116:0.533035:0.569805:0.533035:0.000000:0.000000
2:@0.593116:0.543377:0.598359:0.543377:0.598359:0.533822:0.593116:0.533822:0.000000
Romboide:@0.123519:0.667144:0.123519:0.609292:0.101683:0.609292:0.101683:0.667144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6 cm:@0.170069:0.628864:0.203105:0.628864:0.203105:0.613965:0.170069:0.613965:0.000000:0.000000:0.000000:0.000000
a:@0.151592:0.637602:0.160018:0.637602:0.160018:0.622729:0.151592:0.622729:0.000000
11 cm:@0.200892:0.584411:0.242103:0.584411:0.242103:0.569512:0.200892:0.569512:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.217276:0.599285:0.225703:0.599285:0.225703:0.584411:0.217276:0.584411:0.000000
a:@0.278456:0.627096:0.286882:0.627096:0.286882:0.612223:0.278456:0.612223:0.000000
6 cm:@0.403605:0.691600:0.436640:0.691600:0.436640:0.676701:0.403605:0.676701:0.000000:0.000000:0.000000:0.000000
a:@0.261062:0.701385:0.269488:0.701385:0.269488:0.686511:0.261062:0.686511:0.000000
11 cm:@0.310362:0.648200:0.351573:0.648200:0.351573:0.633301:0.310362:0.633301:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.326746:0.663074:0.335173:0.663074:0.335173:0.648200:0.326746:0.648200:0.000000
a:@0.388914:0.690760:0.397341:0.690760:0.397341:0.675886:0.388914:0.675886:0.000000
El área del romboide es igual a la :@0.452513:0.605372:0.696309:0.605372:0.696309:0.588983:0.452513:0.588983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un rectángulo, con la misma :@0.452513:0.621968:0.687722:0.621968:0.687722:0.605579:0.452513:0.605579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
base y la misma altura.:@0.452513:0.638564:0.617422:0.638564:0.617422:0.622175:0.452513:0.622175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A = b × a:@0.452513:0.671757:0.519940:0.671757:0.519940:0.655368:0.452513:0.655368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A = 11 cm × 6 cm = 66 cm:@0.452513:0.688353:0.647459:0.688353:0.647459:0.671965:0.452513:0.671965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.647456:0.682306:0.652699:0.682306:0.652699:0.672751:0.647456:0.672751:0.000000
Trapecio:@0.123519:0.850237:0.123519:0.803242:0.101683:0.803242:0.101683:0.850237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.281744:0.738739:0.290171:0.738739:0.290171:0.723865:0.281744:0.723865:0.000000
a:@0.236630:0.785975:0.245057:0.785975:0.245057:0.771101:0.236630:0.771101:0.000000
B:@0.281929:0.809499:0.289970:0.809499:0.289970:0.794626:0.281929:0.794626:0.000000
a:@0.186132:0.905481:0.194558:0.905481:0.194558:0.890607:0.186132:0.890607:0.000000
b:@0.230190:0.858244:0.238617:0.858244:0.238617:0.843370:0.230190:0.843370:0.000000
B:@0.333436:0.858244:0.341477:0.858244:0.341477:0.843370:0.333436:0.843370:0.000000
5 cm:@0.207223:0.896931:0.240259:0.896931:0.240259:0.882032:0.207223:0.882032:0.000000:0.000000:0.000000:0.000000
5 cm:@0.217911:0.843294:0.250947:0.843294:0.250947:0.828395:0.217911:0.828395:0.000000:0.000000:0.000000:0.000000
9 cm:@0.320955:0.843294:0.353991:0.843294:0.353991:0.828395:0.320955:0.828395:0.000000:0.000000:0.000000:0.000000
h:@0.253192:0.929005:0.261836:0.929005:0.261836:0.914131:0.253192:0.914131:0.000000
 + :@0.261836:0.929005:0.279158:0.929005:0.279158:0.914106:0.261836:0.914106:0.000000:0.000000:0.000000
B:@0.279158:0.929005:0.287199:0.929005:0.287199:0.914131:0.279158:0.914131:0.000000
El área del trapecio es la mitad del :@0.452513:0.730902:0.705469:0.730902:0.705469:0.714513:0.452513:0.714513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
área de un rectángulo, cuya base :@0.452513:0.747498:0.698004:0.747498:0.698004:0.731109:0.452513:0.731109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es la suma de las dos bases del :@0.452513:0.764095:0.681900:0.764095:0.681900:0.747706:0.452513:0.747706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trapecio.:@0.452513:0.780691:0.515867:0.780691:0.515867:0.764302:0.452513:0.764302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.456701:0.817718:0.467497:0.817718:0.467497:0.799870:0.456701:0.799870:0.000000
bB:@0.493771:0.807504:0.530740:0.807504:0.530740:0.789655:0.493771:0.789655:0.000000:0.000000
a:@0.571469:0.807504:0.581580:0.807504:0.581580:0.789655:0.571469:0.789655:0.000000
2:@0.529521:0.829152:0.539331:0.829152:0.539331:0.811273:0.529521:0.811273:0.000000
(:@0.486331:0.810224:0.493026:0.810224:0.493026:0.788139:0.486331:0.788139:0.000000
):@0.532307:0.810224:0.539001:0.810224:0.539001:0.788139:0.532307:0.788139:0.000000
=:@0.470522:0.818458:0.481559:0.818458:0.481559:0.801469:0.470522:0.801469:0.000000
+:@0.507010:0.808242:0.518047:0.808242:0.518047:0.791253:0.507010:0.791253:0.000000
×:@0.549307:0.808242:0.560343:0.808242:0.560343:0.791253:0.549307:0.791253:0.000000
A:@0.456701:0.873291:0.467497:0.873291:0.467497:0.855442:0.456701:0.855442:0.000000
cm:@0.510939:0.861040:0.534861:0.861040:0.534861:0.843191:0.510939:0.843191:0.000000:0.000000
cm:@0.569680:0.861040:0.593602:0.861040:0.593602:0.843191:0.569680:0.843191:0.000000:0.000000
cm:@0.650192:0.861040:0.674114:0.861040:0.674114:0.843191:0.650192:0.843191:0.000000:0.000000
5 cm:@0.493771:0.861040:0.536114:0.860966:0.536114:0.843087:0.493771:0.843161:0.000000:0.000000:0.000000:0.000000
9 cm:@0.551667:0.861040:0.592861:0.860966:0.592861:0.843087:0.551667:0.843161:0.000000:0.000000:0.000000:0.000000
5 cm:@0.633024:0.861040:0.674065:0.860966:0.674065:0.843087:0.633024:0.843161:0.000000:0.000000:0.000000:0.000000
2:@0.575590:0.884725:0.585400:0.884725:0.585400:0.866846:0.575590:0.866846:0.000000
(:@0.486331:0.866207:0.493026:0.866207:0.493026:0.839025:0.486331:0.839025:0.000000
):@0.594284:0.866207:0.600978:0.866207:0.600978:0.839025:0.594284:0.839025:0.000000
=:@0.470522:0.874030:0.481559:0.874030:0.481559:0.857042:0.470522:0.857042:0.000000
+:@0.537584:0.861772:0.548620:0.861772:0.548620:0.844783:0.537584:0.844783:0.000000
×:@0.611301:0.861772:0.622337:0.861772:0.622337:0.844783:0.611301:0.844783:0.000000
A:@0.456701:0.925092:0.467497:0.925092:0.467497:0.907243:0.456701:0.907243:0.000000
cm:@0.520568:0.914244:0.544491:0.914244:0.544491:0.896395:0.520568:0.896395:0.000000:0.000000
cm:@0.601080:0.914244:0.625003:0.914244:0.625003:0.896395:0.601080:0.896395:0.000000:0.000000
cm:@0.671341:0.925092:0.695264:0.925092:0.695264:0.907243:0.671341:0.907243:0.000000:0.000000
14 cm:@0.492510:0.914248:0.545378:0.914233:0.545378:0.896354:0.492510:0.896369:0.000000:0.000000:0.000000:0.000000:0.000000
5 cm:@0.583917:0.914248:0.625631:0.914233:0.625631:0.896354:0.583917:0.896369:0.000000:0.000000:0.000000:0.000000
2:@0.551037:0.936526:0.560848:0.936526:0.560848:0.918647:0.551037:0.918647:0.000000
35 cm:@0.644538:0.925092:0.696386:0.925139:0.696386:0.907260:0.644538:0.907213:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.695475:0.916743:0.701146:0.916743:0.701146:0.906407:0.695475:0.906407:0.000000
(:@0.486331:0.917735:0.493026:0.917735:0.493026:0.893950:0.486331:0.893950:0.000000
):@0.545172:0.917735:0.551867:0.917735:0.551867:0.893950:0.545172:0.893950:0.000000
=:@0.470522:0.925831:0.481559:0.925831:0.481559:0.908843:0.470522:0.908843:0.000000
×:@0.562191:0.914983:0.573228:0.914983:0.573228:0.897995:0.562191:0.897995:0.000000
=:@0.629878:0.925831:0.640914:0.925831:0.640914:0.908843:0.629878:0.908843:0.000000
2:@0.696386:0.918542:0.702106:0.918542:0.702106:0.908118:0.696386:0.908118:0.000000
La suma de los ángulos :@0.732478:0.393627:0.903707:0.393627:0.903707:0.377238:0.732478:0.377238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
internos de un :@0.732478:0.409974:0.843578:0.409974:0.843578:0.393586:0.732478:0.393586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrilátero es 360°.:@0.732478:0.426322:0.879602:0.426322:0.879602:0.409933:0.732478:0.409933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde:@0.732478:0.446237:0.809450:0.446237:0.809450:0.429613:0.732478:0.429613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: ¿cuál es el :@0.809450:0.446237:0.894751:0.446237:0.894751:0.429849:0.809450:0.429849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrilátero que tiene :@0.732478:0.462585:0.898232:0.462585:0.898232:0.446196:0.732478:0.446196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un solo par de lados :@0.732478:0.478932:0.884616:0.478932:0.884616:0.462543:0.732478:0.462543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paralelos?:@0.732478:0.495280:0.805267:0.495280:0.805267:0.478891:0.732478:0.478891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.782455:0.355225:0.883566:0.355225:0.883566:0.338449:0.782455:0.338449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.782455:0.369056:0.870484:0.369056:0.870484:0.352279:0.782455:0.352279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.732754:0.624081:0.834511:0.624081:0.834511:0.607181:0.732754:0.607181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e ingeniería:@0.732754:0.640678:0.826809:0.640678:0.826809:0.623777:0.732754:0.623777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un ingeniero utiliza el :@0.732754:0.660842:0.896426:0.660842:0.896426:0.644454:0.732754:0.644454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cálculo de áreas para :@0.732754:0.677439:0.890179:0.677439:0.890179:0.661050:0.732754:0.661050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocer la superficie :@0.732754:0.694035:0.889148:0.694035:0.889148:0.677646:0.732754:0.677646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que tiene un terreno, :@0.732754:0.710632:0.891375:0.710632:0.891375:0.694243:0.732754:0.694243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
según su forma.:@0.732754:0.727228:0.849565:0.727228:0.849565:0.710839:0.732754:0.710839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determina:@0.732754:0.906036:0.814444:0.906036:0.814444:0.889412:0.732754:0.889412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el área de :@0.814444:0.906036:0.893296:0.906036:0.893296:0.889647:0.814444:0.889647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un cuadrado cuyos :@0.732754:0.922633:0.877206:0.922633:0.877206:0.906244:0.732754:0.906244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lados miden 8 cm.:@0.732754:0.939229:0.867128:0.939229:0.867128:0.922840:0.732754:0.922840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.758866:0.597427:0.905181:0.597427:0.905181:0.580651:0.758866:0.580651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 2179292685:@0.924138:0.878855:0.924138:0.801207:0.912227:0.801207:0.912227:0.878855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La suma de los :@0.732568:0.199410:0.844995:0.199410:0.844995:0.183022:0.732568:0.183022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulos internos de un :@0.732568:0.215758:0.906339:0.215758:0.906339:0.199369:0.732568:0.199369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrilátero es 360°.:@0.732568:0.232105:0.879692:0.232105:0.879692:0.215716:0.732568:0.215716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.782546:0.161009:0.883658:0.161009:0.883658:0.144233:0.782546:0.144233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.782546:0.174839:0.870574:0.174839:0.870574:0.158063:0.782546:0.158063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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