The area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.

Question

yanasidlinskiy · Answer

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yanasidlinskiy · Answer

area of the triangle =  1/2 * 12 * sqrt(12^2 - 6^2)
area of regular hexagon = 3*sqrt3  * s^2
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where s = length of the side

equate these and solve for s