Respuesta :

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.

ACCESS MORE
EDU ACCESS