The area of a hexagonal (6 sided) gazebo is 425 ft squared. Work backwards to find the length of each side
+130511 A (regular) hexagon is comprised of 6 equal equilateral triangles. The total area is given by:
6*(1/2)*(s2)(√(3)/2) = (1/2)(s2)(3√(3)) where s is the side length....note, since the triangles are equilateral, the sides are all the same length.
And the area is 425 ft2
So we have:
425 = (1/2)(s2)(3√(3)) multiply both sides by 2
850 = (s2)(3√(3)) divide both sides by (3√(3))
850/(3√(3)) = (s2) take the square root of both sides
s ≈ 12.79 cm
+130511 A (regular) hexagon is comprised of 6 equal equilateral triangles. The total area is given by:
6*(1/2)*(s2)(√(3)/2) = (1/2)(s2)(3√(3)) where s is the side length....note, since the triangles are equilateral, the sides are all the same length.
And the area is 425 ft2
So we have:
425 = (1/2)(s2)(3√(3)) multiply both sides by 2
850 = (s2)(3√(3)) divide both sides by (3√(3))
850/(3√(3)) = (s2) take the square root of both sides
s ≈ 12.79 cm
