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?
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?