Given:
The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex].
To find:
The expression that represents the area of the rectangle in simplest terms.
Solution:
Area of a rectangle is:
[tex]Area=Length\times Width[/tex]
The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex]. So, the area of the given rectangle is:
[tex]Area=(2x-5)\times (3x+3)[/tex]
[tex]Area=2x(3x)+2x(3)-5(3x)-5(3)[/tex]
[tex]Area=6x^2+6x-15x-15[/tex]
[tex]Area=6x^2-9x-15[/tex]
Therefore, the correct option is F, i.e., [tex]6x^2-9x-15[/tex].
