document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=247755>Question 247755</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area of a regular hexagon with the given measurement 4 inches\r<BR>\n" );
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document.write( "for that answer I got 25 square root of 3\r<BR>\n" );
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document.write( "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/<BR>\n" );
document.write( " I got 2 and the square root of 4\r<BR>\n" );
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document.write( "F </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180722 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=180722\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the area of a regular hexagon with the given measurement 4 inches \r<BR>\n" );
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document.write( "for that answer I got 25 square root of 3<BR>\n" );
document.write( "For any regular polygon with n sides of length s:<BR>\n" );
document.write( "Area = (ns^2/4)*cot(180/n)<BR>\n" );
document.write( "= 6*16*cot(30)/4<BR>\n" );
document.write( "= 24*sqrt(3)<BR>\n" );
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document.write( "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/<BR>\n" );
document.write( "I got 2 and the square root of 4 <BR>\n" );
document.write( "Area of the triangle = (3*144/4)*cot(60)<BR>\n" );
document.write( "Area = 108*cot(60)<BR>\n" );
document.write( "Area = 36*sqrt(3)<BR>\n" );
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document.write( "36*sqrt(3) = (6s^2/4)*cot(30) = (3s^2/2)*sqrt(3)<BR>\n" );
document.write( "3s^2 = 72<BR>\n" );
document.write( "x = 2sqrt(6)<BR>\n" );
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