document.write( "Question 1118750: Find the area of a regular hexagon with the given measurement.
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Algebra.Com's Answer #734183 by ikleyn(52832) $\"\"$ $\"About$

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document.write( "The area of a regular hexagon is six times the area of central equilateral triangle.\r\n" );
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document.write( "You are given the apothem =  of the regular hexagon, which is the altitude of the equilateral triangle.\r\n" );
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document.write( "Let x be the side length of the hexagon.\r\n" );
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document.write( "It is also the side length of the equilateral triangle.\r\n" );
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document.write( "In an equilateral triangle with the side length x the altitude is  .   //  Every student who study/studied Geometry must know it.\r\n" );
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document.write( "Therefore,   = ,  which implies  x= 4.\r\n" );
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document.write( "Thus the side length of the regular hexagon is 4 units, same as the side length of the equilateral triangle.\r\n" );
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document.write( "Hence, the area of the equilateral triangle is   =  square units.\r\n" );
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document.write( "Then the area of the given hexagon is 6 times this value, i.e.  square units.\r\n" );
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