Find the area of the figure. Express your answer as a polynomial.

Answer:
(8x²+14x+6) square units.
Explanation:
The length of the rectangle = 4x+3
The width of the rectangle = 2x+2
[tex]\begin{gathered} \text{Area of the rectangle}=Length\times Width \\ =(4x+3)(2x+2) \end{gathered}[/tex]Next, expand to write it as a polynomial:
[tex]\begin{gathered} =4x(2x+2)+3(2x+2) \\ =8x^2+8x+6x+6 \\ A=8x^2+14x+6 \end{gathered}[/tex]The area of the polynomial is (8x²+14x+6) square units.