kaylaann55 kaylaann55
  • 10-05-2021
  • Mathematics
contestada

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
x+7 x+5

Respuesta :

erinna erinna
  • 15-05-2021

Given:

Consider the sides of the rectangle are (x+7) and (x+5) units.

To find:

The area of the entire rectangle in standard form.

Solution:

The area of the rectangle is:

[tex]A=l\times w[/tex]

Where, l is length and w is width of the rectangle.

So, the area of the given rectangle is:

[tex]A=(x+7)\times (x+5)[/tex]

[tex]A=(x)(x)+(x)(5)+(7)(x)+(7)(5)[/tex]

[tex]A=x^2+5x+7x+35[/tex]

[tex]A=x^2+12x+35[/tex]

Therefore, the area of the rectangle is [tex]A=x^2+12x+35[/tex].

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