What will be the ratio of the rug’s area to the living room’s area?

Question

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 1

Two rectangles are similar figures since ratio of corresponding sides is constant 1/2.

If ratio of sides is 1/2, then ratio of areas is 1/4.