Respuesta :

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[tex]L=2w+4 \\ \\ P=2w+2L \\ P=46 \\ \\ 2w+2(2w+4)=46 \\ 2w+4w+8=46 \\ \\ 6w=46-8 \\ 6w=38 \\ \\ \boxed{w=\frac{38}{6}=6.(3)} \\ \\ L=2*6.3+4 \\ L=12.6+4 \\ \\ \boxed{L=16.(6)}[/tex]

Answer: Width 9 centimeters

Length 14 centimeters

Step-by-step explanation:

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