One side for Width is 4 x 4 = 16 since quadrupled so add 16 twice= 32
One side for length is 9 x 4 = 36 since quadrupled so add 36 twice = 72
Before the perimeter was 4 + 4 + 9 + 9 = 26
After quadrupled the perimeter is 16 + 16 + 36 + 36 = 104
The new perimeter of 104 is 4 times the old of 26 so the ratio of the new perimeter to the old perimeter is 4 : 1