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.

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

Where:

w: It is the width

l: It is the length

Thus, the area of the rug is:

We know that the room has an area of. Subtracting we have:

Thus, the space between the wall and the rug is given by

The space between the wall and the rug is given by

4.0 ft

step-by-step explanation:

4.0 ft

the perimeter is increased by a factor of 2