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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.
To find the area of a regular hexagon, you can use the formula: Area = (Perimeter × Apothem) / 2. The perimeter of the hexagon is 6 times the side length, so for a side length of 2 cm, the perimeter is 12 cm. Substituting the values into the formula gives: Area = (12 cm × 1.7 cm) / 2 = 10.2 cm². Thus, the area of the hexagon is 10.2 cm².