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

Answer:

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

Step-by-step explanation:

Given the rug has a length of $6\frac{1}{3}$ feet and the room has an overall length of $13\frac{3}{4}$, you can find the remaining length of the room, but subtracting the two lengths:

$13\frac{3}{4}$-$6\frac{1}{3}$

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

$13\frac{3}{4}=13\frac{9}{12}\\ 6\frac{1}{3}=6\frac{4}{12}$

Subtract:

$13\frac{9}{12}-6\frac{4}{12}=7\frac{5}{12}$

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.