Answer:
The correct option is C.
Step-by-step explanation:
Given information: One side of the rectangle is (5x+2) and another sides of rectangle is (x-4).
The area of rectangle is
[tex]A=length \times width[/tex]
Substitute length = (5x+2) and width = (x-4) in the above formula, to find the simplified polynomial expression in standard form to represent the area of the rectangle.
[tex]A=(5x+2)\times (x-4)[/tex]
Using distributive property,
[tex]A=5x(x-4)+2(x-4)[/tex]
[tex]A=5x(x)+5x(-4)+2(x)+2(-4)[/tex]
On simplification we get
[tex]A=5x^2-20x+2x-8[/tex]
On combining like terms we get
[tex]A=5x^2+(-20x+2x)-8[/tex]
[tex]A=5x^2+(-18x)-8[/tex]
[tex]A=5x^2-18x-8[/tex]
Therefore the correct option is C.
