the surface of soccer ball is made of a pattern of regular pentagons and hexagons .If each hexagon on a soccer ball has perimeter of 9 inches , what is the area of a hexagon?

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the surface of soccer ball is made of a pattern of regular pentagons and hexagons .If each hexagon on a soccer ball has perimeter of 9 inches , what is the area of a hexagon?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Hexagon is made up of 6 equilateral triangles. Since they are equilateral and the perimeter is 9 inches, then each side must be 3 Area of a triangle is 1/2 b h we need to find the height by drawing the height of an equilateral it would create a right triangle the hypotenuse would be 3 the bottom leg would be 1 1/2 to find the height you use the pythagorean theorem a^2 + b^2 = c^2 (3/2)^2 + b^2 = 3^2 9/4 + b^2 = 9 b^2 = 6 3/4 = 27/4 b = 3 sqrt(3) over 2 Area would be 1/2 * 3 * 3sqrt(3)/2 9sqrt(3) ------- 4 then you have 6 of these triangles. 6 * 9 sqrt(3) -------- 4 27 sqrt(3) -------- 3
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