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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.
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.
If it is a regular hexagon then make 6 triangles then find the area of one then multiply by 6.
A hexagon has 6 sides of equal length. The perimeter of a hexagon with a side length of 8mm = 6 x 8mm = 48mm.