How do you find the area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches?

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How do you find the area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches?

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Answer 1 · 2015-05-27T01:25:21

Warning: I suspect there is something wrong in the statement of this question; however....

If the perimeter of an equilateral triangle is 36 inches, each side is 12 inches and by the Pythagorean Theorem the height is #sqrt(12^2-6^2) = sqrt(108) = 6sqrt(3)#
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The area of the triangle is
#A = 1/2bh#

# = 1/2*12*6sqrt(3) "square inches"#

#= 36sqrt(3) "square inches"#

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How do you find the area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches?

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