Question

calcule o perímetro das equações!​

Answer 1

$\underline{\mathsf{o~ per\'imetro~de~qualquer~f\'igura~\'e~a~soma~de~seus~lados}}$

a)

$\mathsf{p=\dfrac{x}{4}+\dfrac{x}{2}+\dfrac{x}{4}+\dfrac{x}{2}}\\\\mmc(4,2)=4\\\\\mathsf{p=\dfrac{x+2x+x+2x}{4}=\dfrac{6x}{4}}\\\\\textsf{quando~x=2~temos:}\\\mathsf{p=\dfrac{6.2}{4}=\dfrac{12}{4}=3~cm}$

b)

$\underline{\large\textsf{o~per\'imetro~do~quadrado~\'e~o~qu\'adruplo~do~n\'umero~de~lados}}$

$\mathsf{p=\diagup4.\dfrac{a}{\diagup 4}=a}\\\underline{\textsf{quando~a=4~cm~temos:}}\\\mathsf{p=4~cm}$

c)

$\mathsf{p=\dfrac{m}{6}+\dfrac{m}{4}+\dfrac{m}{6}+\dfrac{m}{4}}\\\\mmc(6,4)=12\\\\\mathsf{p=\dfrac{2m+3m+2m+3m}{12}=\dfrac{10m}{12}}\\\\\textsf{quando~m=2~temos:}\\\mathsf{p=\dfrac{10.2}{12}=\dfrac{20}{12}=1,66~cm}$

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