A floor measures 12m by 8m. A rug covers one-third of the floor. The uncovered part of the floor forms a uniform (same width) strip around the rug. How wide is the strip?

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- Jul 22nd 2007, 12:25 PMzbestJust another question
A floor measures 12m by 8m. A rug covers one-third of the floor. The uncovered part of the floor forms a uniform (same width) strip around the rug. How wide is the strip?

- Jul 22nd 2007, 12:41 PMJhevon
Let be the width of the strip around the rug.

Note that the area of the floor is

If the rug covers 1/3 of the floor, it must have an area of

Since is the width of the strip:

The length of the rug is and the width is , and the area (found above) is

so we must have:

can you take it from here? - Jul 22nd 2007, 12:51 PMred_dog
Here is a sketch for the solution of Jhevon.

- Jul 22nd 2007, 01:02 PMJhevon
- Jul 22nd 2007, 01:21 PMred_dog
I used Draw Tools from Word, then I imported to Irfanview and save it as an image.