Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

a picture of a rectangle is shown with one side labeled as 2 x minus 4 and another side labeled as x plus 5

A simplified polynomial expression in standard form to represent the area of the rectangle below is:

Step-by-step explanation:

We are given a rectangular figure such that the length of one side is given as: 2x-4

while the other side is labelled as: x+4.

Let us assume that the length of rectangle(l)= 2x-4

and width or breadth of rectangle(b)=x+5

We know that the area of rectangle(A) is given as:

A=l×b.

A=(2x-4)×(x+5)

A=2x(x+5)-4(x+5)

A=2x^2+10x-4x-20

A=2x^2+6x-20.

Hence, the polynomial expression for the area of rectangle is a polynomial of degree 2 and is given by:

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.