Answer:
[tex]2x^2+6x-20[/tex]
Step-by-step explanation:
The sides of the rectangle are x+5 and 2x-4
To find the polynomial that represents the area of the rectangle , multiply the sides of the rectangle
[tex](x+5)(2x-4)[/tex]
Apply FOIL method to multiply it
[tex](x+5)(2x-4)[/tex]
[tex]2x^2-4x+10x-20[/tex]
Combine like terms
[tex]2x^2+6x-20[/tex]
Area of the rectangle is [tex]2x^2+6x-20[/tex]