# A 4m by 6m rug covers half of the floor area of a room, and leaves a uniform strip of bare floor around the edges. What are the dimensions of the rooms?

##### 1 Answer

Oct 6, 2015

#### Answer:

The room is 6 m by 8 m

#### Explanation:

Room has an area of

(since the rug covers half the area and the rug has an area of

Let

Area of room

Since a strip width of

the strip has a width of

and