Changing a 4-by-8 rectangle into a 6-by-6 square shows a greater relative change.
Here is how we know: When a 6-by-6 square becomes a 4-by-8 rectangle, its area changes from 36 square units to 32 square units -- a decrease of four square units. This decrease represents 4/36, or 1/9, of the square's original area.
When a 4-by-8 rectangle becomes a 6-by-6 square, its area changes from 32 square units to 36 square units -- an increase of four square units. This increase represents 4/32, or 1/8, of the rectangle's original area.
Since 1/8 is greater than 1/9, the rectangle showed a greater change.
However, you could also say that in an absolute sense, the change for both was equal, as the area of both the rectangle and the square changed by four square units.
<< back to Problem H4