Question

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

Answer 1

(8x²+14x+6) square units.

Step-by-step explanation:

The length of the rectangle = 4x+3

The width of the rectangle = 2x+2

`\begin{gathered} \text{Area of the rectangle}=Length* Width \\ =(4x+3)(2x+2) \end{gathered}`

Next, expand to write it as a polynomial:

`\begin{gathered} =4x(2x+2)+3(2x+2) \\ =8x^2+8x+6x+6 \\ A=8x^2+14x+6 \end{gathered}`

The area of the polynomial is (8x²+14x+6) square units.