Two rooms in a house need carpets. The two rooms are similar in shape, but the smaller room has dimensions that are one-third the size of the larger room. If we find out that sixty square feet of carpet will cover the floor of the smaller room, how much carpet will be needed to cover the larger room?
Peter E you are correct
This is a question of similarity so when the sides are proportional then their areas proportional to their squares of the sides:
sides of the smaller room = x
sides of the smaller room = 3x
Area of smaller room =S
Area of bigger room = B
(60/B) the square root of whole
thats equal to x/3x
so 1/9 =60/B
B=540square feet