Help me solve this problem!?

Question

I put a 3 by 4 meter rug in the middle of my living room and noticed it covered exactly half the area, if the strip of visible floor is the same width all around what are the dimensions of my living room?

Answer 1

ok ...i'll help you make the right equations ...then you do the math

let's consider one of the dimensions is A and the other is B.....since the rug covered half the area then the main equation is

A×B=24  ..........1

then we consider each equal widthes of the strip of visible floor is c

then we make two equations the first is

A=2C+3..................2

the second one is

B=2C+4........3

then you use the values of A and B in the equation A×B=24 ....

you get  the value of C  then you use the value in the equation number 2 to get the value of A which is one of the dimensions....and you use the value of C in  the equation number 2 to get the value of B

Answer 2

The dimensions are 5.425m by 4.425m.

The total area of the room is 5.425m X 4.425m = 24.01 meters squared.  The area of the rug is 3m X 4m = 12.0 meters squared.  Subtract the rug area from the room area (24.01 - 12.0), the result is 12.01, which is close enough to being "half the area".  The strips of floor are 0.7125m all around from the rug.  The length is 0.7125m + 3m + 0.7125m, which equals 4.425m.  The length is 0.7125m + 4m +0.7125m, which equals 5.425m.

Answer 3

the living room is 6 x 4 meters.