Question

Question: A rectangular room has a 10 ft. by 8 ft. rug in the center such that the rug has the same amount of space to the wall on all 4 sides. Find the amount of space between the rug and the wall if the room has an area of 288 sq. feet.

Answer 1

For this case we have that by definition, the area of a rectangle is given by:

`A = w * l`

Where:

w: It is the width

l: It is the length

Thus, the area of the rug is:

`A = 8 * 10\\A = 80 \ ft ^ 2`

We know that the room has an area of
`288 \ ft ^ 2`. Subtracting we have:

`288 \ ft ^ 2-80 \ ft ^ 2 = 208 \ ft ^ 2`

Thus, the space between the wall and the rug is given by
`208 \ ft ^ 2`

ANswer:

The space between the wall and the rug is given by
`208 \ ft ^ 2`