document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193357>Question 193357</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078228808/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Exam: Geometry Exam 4 E (Copy) <BR>\n" );
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document.write( "Assume that Hexagon ABCDEF is a regular polygon, all angles that look like right angles are, and that the perimeter is 120 units. <BR>\n" );
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document.write( " 17. What is the area of hexagon ABCDEF?  <BR>\n" );
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document.write( " A.   <BR>\n" );
document.write( " 259.8 square units  <BR>\n" );
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document.write( " B.   <BR>\n" );
document.write( " 519.6 square units  <BR>\n" );
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document.write( " C.   <BR>\n" );
document.write( " 1039.2 square units  <BR>\n" );
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document.write( " D.   <BR>\n" );
document.write( " 2078.4 square units  <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 #145157 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=145157\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "If you have a regular hexagon with a perimeter of 120, then each side must measure 120 divided by 6 or 20.  A regular hexagon is composed of 6 equilateral triangles whose sides are equal in measure to one of the sides of the hexagon.  So calculate the area of an equilateral triangle with side length of 20 and multiply by 6.\r<BR>\n" );
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document.write( "The area of a triangle is given by:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ A = \frac{bh}{2}\">\r<BR>\n" );
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document.write( "The base of an equilateral triangle is just the length of any of the sides, and the height of an equilateral triangle forms a 30-60-90 right triangle where the hypotenuse is the length of one side, the short leg is half of the length of one side, and the long leg (and the measure of the height) is the length of one side of the equilateral triangle times the square root of 3.  Therefore the area of the equilateral triangle is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ A_{ET} = \frac{s^2\sqrt{3}}{2}\">\r<BR>\n" );
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document.write( "And the area of the hexagon is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ A_H = 6(A_{ET}) = \frac{6s^2\sqrt{3}}{2} = 3s^2\sqrt{3}\">\r<BR>\n" );
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document.write( "Plug in the value for <i>s</i> and do the arithmetic.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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