The polynomial that represents the area of the given rectangle is
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<u>Step-by-step explanation:</u>
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).
=
.
=
Thus the area of the given rectangle is 