Respuesta :

Answer:

area = 2x² - 17x - 21

Step-by-step explanation:

Area of the rectangle is:

area = (width*length)

area = (x+7)*(2x-3)

        = x*2x + x*-3 + 7*2x + 7*-3

        = 2x² - 3x - 14x - 21

        = 2x² - 17x - 21

The area of the rectangle in terms of x should be [tex]2x^2 + 11x - 21[/tex]

Given that,

  • Length is 2x - 3.
  • Width is x + 7.

We need to determine the area of the rectangle

As we know that

The area of the rectangle be

[tex]= length \times breadth\\\\= (2x - 3) (x + 7)\\\\= 2x^2 +14x - 3x - 21\\\\= 2x^2 + 11x - 21[/tex]

Therefore we can conclude that The area of the rectangle in terms of x should be [tex]2x^2 + 11x - 21[/tex]

Learn more about the rectangle here: brainly.com/question/16939594

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