document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=324397>Question 324397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area of a regular hexagon with the given measurement<BR>\n" );
document.write( "48-inch perimeter\r<BR>\n" );
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document.write( "A = sq. in.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #232176 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=232176\">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<BR>\n" );
document.write( "48-inch perimeter\r<BR>\n" );
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document.write( "A = sq. in. (this means they want the area in square inches)<BR>\n" );
document.write( "...<BR>\n" );
document.write( "regular hexagon has 6 equal sides<BR>\n" );
document.write( "(48 inches)/6 = 8 inches per side<BR>\n" );
document.write( "...<BR>\n" );
document.write( "the hexagon is made up of 6 equilateral triangles each with the same area, find area of one of these 6 equilateral triangles<BR>\n" );
document.write( "area triangle = 1/2 * base * height = 1/2 * 8 inches * height<BR>\n" );
document.write( "let h = height, base is 8 inches, 1/2 base is 4 inches<BR>\n" );
document.write( "hypotenuse on 1/2 the equilateral triangle since that would be a right triangle equals 8 inches<BR>\n" );
document.write( "use pythagorean theorem to find the height of the equilateral triangle<BR>\n" );
document.write( "4^2 + h^2 = 8^2<BR>\n" );
document.write( "16 + h^2 = 64<BR>\n" );
document.write( "h^2 = 48 = 3 * 16<BR>\n" );
document.write( "h = 4sqrt(3) inches<BR>\n" );
document.write( "area of one equilateral triangle = 1/2 * 8 * 4sqrt(3) = 16sqrt(3)<BR>\n" );
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document.write( "area of hexagon = 6 * 16sqrt(3) = 96sqrt(3) square inches\r<BR>\n" );
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