Respuesta :

Answer:

The area of the rectangle will be:

[tex]A=18x^6+48x^5+6x^4[/tex]

Step-by-step explanation:

Given

  • height or length = l = 6x³
  • width = w = 3x³+8x²+x

We know that Area of the rectangle

A=wl

  = (3x³+8x²+x) × (6x³)

  [tex]=\left(6x^3\right)\times \:3x^3+\left(6x^3\right)\times \:8x^2+\left(6x^3\right)x[/tex]

  [tex]=3x^3\left(6x^3\right)+8x^2\left(6x^3\right)+x\left(6x^3\right)[/tex]

  [tex]=18x^6+48x^5+6x^4[/tex]

Thus, the area of the rectangle will be:

[tex]A=18x^6+48x^5+6x^4[/tex]