"... rug covers half the floor area of a room and leaves a uniform strip of bare floor around the edges." The rug is rectangular. Does that mean that there is a equal amount of space on each side of the rug, making the room rectangular? Its only the "uniform strip" bit that I don't really get.
2007-10-02 13:49:17 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Techincally a square is a rectangle but not all rectangles are squares.
anyway, since there is a uniform strip around the rug the room must have the same shape as the rug no matter what shape it is.
Also, thank you for trying to figure the problem out on your own rather than trying to get us to do it for you
2007-10-02 13:53:52 · answer #1 · answered by Random Nickname 3 · 0⤊ 0⤋
Actually they are saying that the area that is covered by the rug is the same as the area that is NOT covered by the rub. ... and that there is an even distance around the rug on all sides
(Choose any side of the room and look at the space between the rug and the wall, call this a "strip" of visible floor, ... Uniform means the distance is the same at the bottom of the strip as it is at the top of the strip )
Heres how the math for this sort of problem would start:
Area_Rug = l*w
Area_Room = 2*Area_Rug = (l+x)*w*x)
Where x is the distance between the rug and the walls of the room
2007-10-02 20:57:15 · answer #2 · answered by David F 5 · 0⤊ 0⤋
Yes.
If the room is a 12x16 rectangle, a rug with a uniform strip of 2 feet would be a 8x12 rectangle.
BTW: This rug would cover half the floor.
2007-10-02 20:55:59 · answer #3 · answered by cattbarf 7 · 0⤊ 0⤋
Yes, you have it right. The room must be rectangular. Uniform means uniform in width, so the strip is an equal width all around the rug.
2007-10-02 20:51:58 · answer #4 · answered by ecolink 7 · 0⤊ 0⤋
I believe so. the rug is rectangular and the room has sides that are of the same ratio as the rug. It is a rectangle inside a rectangle
2007-10-02 20:52:56 · answer #5 · answered by Brian A 1 · 0⤊ 0⤋
"uniform strip of bare floor" = the space left uncovered by the rug, which is square in shape.
2007-10-02 20:54:49 · answer #6 · answered by edith p 3 · 0⤊ 0⤋
Yeah it sounds like you are right and the room is a rectangle and the rug is proportional and centered in the room.
2007-10-02 20:53:38 · answer #7 · answered by Shana Elmsford 2 · 0⤊ 0⤋