Question 1091587
length is x
width is x-24
their sum is less than HALF the perimeter, or less than half of 172 or 86 cm.
x+x-24 < 86
2x <110
x < 55 cm
x-24 is < 31 cm
so the maximum dimension is 30 cm width and 54 cm length.  If I use 31 and 55, those are integers that give a perimeter of exactly 172 cm, but the perimeter is LESS, so I have to decrease each an integer to keep them 24 cm apart.