Answer:
\(2x^2+6x-20\)
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
\((x+5)(2x-4)\)
Apply FOIL method to multiply it
\((x+5)(2x-4)\)
\(2x^2-4x+10x-20\)
Combine like terms
\(2x^2+6x-20\)
Area of the rectangle is \(2x^2+6x-20\)