Question

Which polynomial represents the area of the rectangle?

A) 4x^2+2x-6
B)4x^2-2-6
C)4x^2-10x-6
D)4x^2-6

Answer 1

The answer is 4x^2-2x-6 i just took the answer and got it wrong but i snipped the right ones for yall

Answer 2

The area of a shape is the amount of space it can occupy.

The polynomial that represents the area is: $4x^2 - 2x - 6$

Please note that, a polynomial represents an algebraic expression of more than two terms.

The dimensions of the rectangle are given as:

$Length = 4x -6$

$Width =x +1$

So, the area (A) is calculated using:

$A =Length \times Width$

This gives:

$A = (4x - 6) \times (x + 1)$

Open brackets

$A = 4x^2 + 4x - 6x - 6$

$A = 4x^2 - 2x - 6$

Hence, the polynomial that represents the area is: $4x^2 - 2x - 6$

Read more about areas at:

https://brainly.com/question/16418397