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Verified Answer :

it would be 2x^2 + 6x-20

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 \(2x^2+6x-20\)