document.write( "Question 316169: how do i solve this question? find the area of a rewular hexagon with the given measurement 48-inch perimeter. \n" ); document.write( "

Algebra.Com's Answer #226249 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can break the hexagon into 6 equilateral triangles.
\n" ); document.write( "You can then find the height using the side $\"s%2F2\"$ , hypotenuse $\"s\"$ , and the Pythagorean theorm to get $\"h=sqrt%283%29%2F2\"$ .
\n" ); document.write( " $\"%28s%2F2%29%5E2%2Bh%5E2=s%5E2\"$
\n" ); document.write( " $\"h%5E2=s%5E2-s%5E2%2F4\"$
\n" ); document.write( " $\"h%5E2=%283%2F4%29s%5E2\"$
\n" ); document.write( " $\"h=%28sqrt%283%29%2F2%29s\"$
\n" ); document.write( "Then the area of 6 triangles would be
\n" ); document.write( " $\"A=+6%2A%281%2F2%29bh\"$
\n" ); document.write( " $\"A+=3hb\"$
\n" ); document.write( " $\"A=3%28sqrt%283%29%2F2%29s%2As\"$
\n" ); document.write( " $\"A+=%28%283sqrt%283%29%29%2F2%29s%5E2\"$ \n" ); document.write( "

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