The polynomial that represents the area of the given rectangle is [tex]32x^2+16x+2.[/tex]
Step-by-step explanation:
We are given with a rectangle which has the length and breadth.
Also the length and breadth is given in the form of polynomial.
The length of the rectangle = 2(4x+1).
which can also be written as 8x+2.
The breadth of the rectangle= 4x+1
Area of the rectangle A= length × breadth.
⇒A=(8x+2)×(4x+1).
=[tex]32x^2+8x+8x+2.[/tex].
=[tex]32x^2+16x+2.[/tex]
Thus the area of the given rectangle is [tex]32x^2+16x+2.[/tex]
