Question

Leslie wants to place a square rug in the center of her bedroom. Her bedroom is square-shaped with a length of 13 3/4 feet. Her rug has a length of 6 1/3 feet.

Leslie says the rug should be placed about 2 feet from each wall. Is her statement reasonable?

A. Yes, the rug should be about 2 feet from the edge of each wall.
B. No, the rug should be about 4 feet from the edge of each wall.
C. No, the rug should be about 6 feet from the edge of the wall.
D. No, the rug should be about 8 feet from the edge of each wall.

Answer 1

B. No, the rug should be about 4 feet from the edge of each wall.

Explanation:

Given the rug has a length of
`6(1)/(3)` feet and the room has an overall length of
`13(3)/(4)`, you can find the remaining length of the room, but subtracting the two lengths:

`13(3)/(4)`-
`6(1)/(3)`

First, find a common denominator. In this case, '12':

`13(3)/(4)=13(9)/(12)\\ 6(1)/(3)=6(4)/(12)`

Subtract:

`13(9)/(12)-6(4)/(12)=7(5)/(12)`

Given that there is almost 8 feet of extra space left in the room, in order for Leslie to place the rug in the center, it should be about 4 feet from the edge of each wall.