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erma4kov [3.2K]
3 years ago
10

Para ampliar uma sala quadrada, foram acrescentados 4 metros em seu comprimento e 2 metros em sua largura, conforme a figura. Qu

al polinômio apresenta a área dessa sala após a ampliação? *
a) x² + 4x + 8
b) x² + 6x + 8
c) x² + 2x + 8
d) x² + 8
e) 2x + 6
Mathematics
1 answer:
ollegr [7]3 years ago
3 0

Answer:

b) x^2 + 6x + 8

Step-by-step explanation:

Para ampliar la habitación cuadrada, se agregaron 4 metros de largo y 2 metros de ancho, como se muestra en la figura.

Deje que la longitud y el ancho de la habitación antes de la expansión sean x.

La nueva longitud de la sala es (x + 4).

El nuevo ancho de la sala es (x + 2).

La nueva área de la sala será:

(x + 4)(x + 2)\\x^2 + 2x + 4x + 8\\x^2 + 6x + 8\\\\

Esa es la nueva área de la habitación.

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