gerardogonzale548 gerardogonzale548
  • 15-06-2020
  • Mathematics
contestada

Considera um quadrado de lado 2x e um rectângulo de comprimento x e largura x  2 . Qual é o valor de x para o qual as duas figuras têm o mesmo perímetro.

Respuesta :

pedrocarratore
pedrocarratore pedrocarratore
  • 15-06-2020

Answer:

3 unidades de comprimento

Step-by-step explanation:

O perímetro é definido como a soma de todos os lados.

O perímetro de um quadrado de lado 2x é dado por:

[tex]Q=4*2x=8x[/tex]

O perímetro de um retângulo de comprimento x e largura x² é dado por:

[tex]R=2x+2x^2[/tex]

Para que ambos os perímetros sejam iguais:

[tex]R=Q\\8x=2x+2x^2\\x^2=\frac{6}{2}x\\ x=3[/tex]

O valor de x é igual a 3 unidades de comprimento.

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