It is not possible to answer a question given only the length of
one side of a hexagon unless we are told it is a regular hexagon.
I added a link that lets you calculate areas of regular polygons.
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If the perimeter of the hexagon is 72, then each side of the hexagon is 72/6 = 12. Therefore, one side of the square is also 12, since the hexagon and the square share a side, so the area of the square is 12 x 12 = 144 cm.
What does the '5cm' represent??? Is it the length of the perimeter , or are you misunderstanding that the 5 cm is the length of one side. When described as a '5 cm square' is this the 'area'.
We first need to assume it is a regular hexagon, otherwise the rules will not apply. If we let L be the length of one side of the hexagon, the the area A = 3(√(3))/2 multiplied by L2 or A=(3(√3)/2)×L2
Area = 35 cm2 and one side = 5 cm => other side = 7 cm So perimeter = 2(5 + 7) = 2*12 = 24 cm