SOLUTION: Brett is buying a rug for his living room. His living room is a rectangle with a length that is twice as long as its width. Brett decides that the rug will also be a rectangle, but

Algebra.Com
Question 1187110: Brett is buying a rug for his living room. His living room is a rectangle with a length that is twice as long as its width. Brett decides that the rug will also be a rectangle, but it will be only one half the length of the room and one half as wide. What will be the ratio of the rug’s area to the living room’s area?
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Because each of the dimensions is 1/2, I would expect the ratio to be 1:4.
The room is x wide and 2x long, so the area is 2x^2 units
The rug is (0.5x) wide and x long so its area is 0.5x^2 units
The ratio indeed is 1:4.

RELATED QUESTIONS

Can someone please help me with this problem? I’ve been struggling with it for a while... (answered by greenestamps,Theo)
Rico buys a rectangular rug to put on his living room floor. the rug is 8 feet long and 6 (answered by brysca,ewatrrr)
my living room is in the shape of a rectangle. Its dimensions are 21 feet by 14 feet.... (answered by JulietG)
Larry wants to buy some carpeting for his living room.The length of a room is 2 times the (answered by jorel1380)
virgina has a circular rug on her square living room floor as represented in the... (answered by ankor@dixie-net.com)
James wants to buy a new rug for his living room. In a department store he finds a square (answered by ikleyn)
James wants to buy a new rug for his living room. In a department store he finds a square (answered by josgarithmetic)
Hiro wants to build an addition to his home. The new room will have one-third of the area (answered by ewatrrr)
Larry wants to buy some carpeting for his living room. the length of the room is 3... (answered by checkley79)