document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1093820>Question 1093820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A window is to be constructed in the shape of an equilateral triangle on top of a rectangle. If its perimeter is to be 600 cm, what is the maximum possible area of the window? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #708425 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=708425\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (Actually drawing the figure would help.)\r<BR>\n" );
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document.write( "Take 2x as rectangle length and y as height of just the rectangle.<BR>\n" );
document.write( "Each side of the triangle is  also 2x (only two of them being sides for the window).\r<BR>\n" );
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document.write( "Perimeter,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600=6x%2B2y ALIGN=MIDDLE  ALT=\"600=6x%2B2y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=300-3x ALIGN=MIDDLE  ALT=\"y=300-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Total area, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2xy%2Bx%5E2%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"2xy%2Bx%5E2%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<i>...adjusted...</i><BR>\n" );
document.write( "Total area, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=2x%28300-3x%29%2Bsqrt%283%29x%5E2 ALIGN=MIDDLE  ALT=\"A=2x%28300-3x%29%2Bsqrt%283%29x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a quadratic function A<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=sqrt%283%29x%5E2%2B2x%28300-3x%29 ALIGN=MIDDLE  ALT=\"A=sqrt%283%29x%5E2%2B2x%28300-3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=sqrt%283%29x%5E2%2B600x-6x%5E2 ALIGN=MIDDLE  ALT=\"A=sqrt%283%29x%5E2%2B600x-6x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28sqrt%283%29-6%29x%5E2%2B600x ALIGN=MIDDLE  ALT=\"A=%28sqrt%283%29-6%29x%5E2%2B600x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( "Maximum area will occur for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28sqrt%283%29-6%29x%2B600=0 ALIGN=MIDDLE  ALT=\"2%28sqrt%283%29-6%29x%2B600=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or for <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%28sqrt%283%29-6%29x%2B300=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%28sqrt%283%29-6%29x%2B300=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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