document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173192>Question 1173192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the regular hexagram shown at the bottom, Line AB=4 cm. The area of the hexagram, in cm^2 is:\r<BR>\n" );
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document.write( "A) 48 √ 3<BR>\n" );
document.write( "B) 24 √ 3<BR>\n" );
document.write( "C) 18 √ 3<BR>\n" );
document.write( "D) 20 √ 3<BR>\n" );
document.write( "E)22 √ 3\r<BR>\n" );
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document.write( "https://ibb.co/xfhPGWG </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #798371 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=798371\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "The area of an equilateral triangle with side length x is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%28sqrt%283%29%2F4%29%2Ax%5E2 ALIGN=MIDDLE  ALT=\"A+=+%28sqrt%283%29%2F4%29%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For equilateral triangle ABC, we have x = 4 as the side length. The area of triangle ABC is <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%28sqrt%283%29%2F4%29%2A4%5E2 ALIGN=MIDDLE  ALT=\"A+=+%28sqrt%283%29%2F4%29%2A4%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+sqrt%283%29%2A%281%2F4%29%2A16 ALIGN=MIDDLE  ALT=\"A+=+sqrt%283%29%2A%281%2F4%29%2A16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+sqrt%283%29%2A4 ALIGN=MIDDLE  ALT=\"A+=+sqrt%283%29%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+4%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"A+=+4%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The regular hexagram is composed of a regular hexagon with equilateral triangles attached to each of the six edges of the hexagon.<BR>\n" );
document.write( "We can break up the regular hexagon into 6 equilateral triangles that are all congruent to one another. These 6 additional triangles are identical to the triangles that line the outside of the hexagon.\r<BR>\n" );
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document.write( "In short: we have 6+6 = 12 equilateral triangles that are identical.\r<BR>\n" );
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document.write( "Because we have 12 identical triangles, each with area <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+4%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"A+=+4%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this means the total area of the regular hexagram is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12A+=+12%2A4%2Asqrt%283%29+=+48%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"12A+=+12%2A4%2Asqrt%283%29+=+48%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer: <font color=red>A) 48 √ 3</font><BR>\n" );
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