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Gemiola [76]
3 years ago
8

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 figu

ras têm o mesmo perímetro.
Mathematics
1 answer:
ki77a [65]3 years ago
4 0

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:

Q=4*2x=8x

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

R=2x+2x^2

Para que ambos os perímetros sejam iguais:

R=Q\\8x=2x+2x^2\\x^2=\frac{6}{2}x\\ x=3

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

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