Assuming that the hexagon is regular (all sides are the same), it can be comprised of 6 equilateral triangles of side length 6 (in this case).
Area of a equilateral triangle is: (side length^2*√3)/4
Each triangle is of area: 62.353829072479572 inches square.
62.353829072479572*6 = 374.12297443487743 inches square approx.
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Length of one side = 114/6 inches = 19 inches
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.
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.
s = 8 and a = 1.3 are not compatible for a regular hexagon.
P = 6(5/8 inches) =