Hi!
Your answer is [tex]x^2+x+6[/tex]
We are asked to find the floor space it covers, which we can solve for by finding the area of the rectangular rug, given its dimensions.
Dimensions:
(x - 2) x (x + 3)
Area of a rectangle:
Length x Width = Area
Plug dimensions into the formula:
[tex](x - 2)(x +3)[/tex]
Use the Distributive Property and FOIL method to solve (if you are not familiar with the FOIL method, see the image attached below):
[tex]x^2+3x-2x-6[/tex]
Combine like terms:
[tex]x^2+x-6[/tex]
Now, this isn't a numerical value, but as we do not know the value of x, this is the simplest answer we can get.
