For this case we have that by definition, the area of a rectangle is given by:
[tex]A = w * l[/tex]
Where:
w: It is the width
l: It is the length
Thus, the area of the rug is:
[tex]A = 8 * 10\\A = 80 \ ft ^ 2[/tex]
We know that the room has an area of[tex]288 \ ft ^ 2[/tex]. Subtracting we have:
[tex]288 \ ft ^ 2-80 \ ft ^ 2 = 208 \ ft ^ 2[/tex]
Thus, the space between the wall and the rug is given by [tex]208 \ ft ^ 2[/tex]
ANswer:
The space between the wall and the rug is given by[tex]208 \ ft ^ 2[/tex]