Why do you think the cross of lothair was created ?

The cross was originally created for one of the Ottonian family, the heirs of the Carolingian family, about a century after Lothair's death; perhaps for Otto III, the Holy Roman Emperor. It seems that as soon as it was made, it was donated to the Cathedral. The Cross is still used nowadays in processions.

Explanation:

g

perimeter = 2l +2w, divide total perimeter by 2 for total length of 1 side and 1 width

172/2 = 86 (  total for 1 side and 1 width)

86-24 = 62 (since length is 24 ft longer subtract 24 then divide by 2 for width)

62/2 = 31

width = 31 feet

length = 31 +24 = 55 feet

check: 31*2 = 62, 55*2 = 110,  110+62 = 172