document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=955402>Question 955402</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the figure above, two identical equilateral triangles, JKL and XYZ, intersect so that  and the six small triangles formed are identical. If the area of the regular hexagon formed by the intersection of the triangles is 60 square units, what is the area, in square units, of the entire figure?\r<BR>\n" );
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document.write( "IMAGE: http://jasper.kaptest.com/content/media/64/124564.9.3905a322-f66a-4e3e-86ee-5f59669cf669.png\r<BR>\n" );
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document.write( "OPTIONS:<BR>\n" );
document.write( "		80<BR>\n" );
document.write( "		90<BR>\n" );
document.write( "		100<BR>\n" );
document.write( "		120<BR>\n" );
document.write( "		160<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #583619 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=583619\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a=side of hexagon=side of triangle(star points);  A=Area of hexagon=60<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=3%5E%281%2F4%29sqrt%282%28A%2F9%29%29 ALIGN=MIDDLE  ALT=\"a=3%5E%281%2F4%29sqrt%282%28A%2F9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.32%28sqrt%2813.33%29%29 ALIGN=MIDDLE  ALT=\"1.32%28sqrt%2813.33%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.32%283.65%29=4.82 ALIGN=MIDDLE  ALT=\"1.32%283.65%29=4.82\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Sides of the hexagon (and triangles) measure 4.82 units.<BR>\n" );
document.write( "For the triangles:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area=%281%2F4%29sqrt%283%29a%5E2 ALIGN=MIDDLE  ALT=\"Area=%281%2F4%29sqrt%283%29a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4sqrt%283%29%284.82%29%5E2=0.4330%2823.23%29 ALIGN=MIDDLE  ALT=\"1%2F4sqrt%283%29%284.82%29%5E2=0.4330%2823.23%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10.06units%5E2 ALIGN=MIDDLE  ALT=\"10.06units%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are 6 triangles=6(10.06)=60.36 sq units<BR>\n" );
document.write( "Hexagon+triangles=60 sq units+60 sq units=120 sq units<BR>\n" );
document.write( "---OR--- <BR>\n" );
document.write( "The triangles folded in have same area as the hexagon, so total area=2(60 sq units)=120 sq units.<BR>\n" );
document.write( "ANSWER: Total area is 120 square units. </SPAN>\n" );
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