Question

Halla la diagonal y el perímetro de un rectángulo de 12 cm de base y 5

cm de altura. ¿Cuál es su área?​

Answer 1

SOLUCIÓN

♛ HØlα!! ✌

a) Hallaremos el perímetro

                                       $\mathrm{Recuerda\:que:}\\\\\mathbf{\boxed{Per\'imetro=2(b+h)}}\\\\\\\mathrm{Donde}\\\\\mathrm{b:base}\\\\\mathrm{h:altura}\\\\\\En\:el\:problema:\\\\b=12\:cm,h=5\:cm\\\\\\Reemplazamos\\\\Perimetro=2(b+h)\\\\Perimetro=2(12+5)\\\\\boxed{\boldsymbol{Per\'imetro=34\:cm}}$

b) Hallaremos el área

                                      $\mathrm{Recuerda\:que:}\\\\\\\mathrm{\boxed{A=b\times h}}\\\\\mathrm{A:\'Area}\\\\\mathrm{b:base}\\\\\mathrm{h:altura}\\\\\\Del\:problema\:tenemos\:que:\\\\h=5\:cm,b=12\:cm\\\\\\Entonces\:reemplazamos\\\\A=b\times h\\\\A=5\times 12\\\\\boxed{\boldsymbol{A=60\:cm^2}}$

c) Para la diagonal

                                     $\mathrm{Recordemos\:el\:Teorema\:de\:Pit\'agoras}\\\\\mathrm{\boxed{c^2=a^2+b^2}}\\\\\\\mathrm{Donde}\\\\\mathrm{c:Hipotenusa}\\\\\mathrm{a,b:Catetos}\\\\\\Entonces\:reemplazamos\\\\c^2=5^2+12^2\\\\\\c^2=25+144\\\\c^2=169\\\\c=\sqrt{169}\\\\\boxed{\boxed{\boldsymbol{c=13}}}$