We have the perimeter equation, P = 4w + 6w. So, all we have to do is calculate the perimeter as w increases by 1 each time from a value of 1 to 5.
| Value of W | 4w | 6w | 4w + 6w |
| 1 | 4 | 6 | 10 |
| 2 | 8 | 12 | 20 |
| 3 | 12 | 18 | 30 |
| 4 | 16 | 24 | 40 |
| 5 | 20 | 30 | 50 |
The range is the largest value minus the smallest value --> 50 - 10 = 40.