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Obviously homework, so I'll give you some pointers:

Assuming it is a regular hexagon then:

  1. Draw in all three diagonals of the hexagon - this will split the hexagon into 6 equilateral triangles.
  2. Sum the areas of the triangles to give the area of the hexagon.
  3. Use Pythagoras or trigonometric ratios to find the altitude of the triangles; the base of the triangles is the length of the side of the hexagon.
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Q: Find the area of a hexagon with side a length of 14in Show all work for credit?
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