document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=3170>Question 3170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of a triangle is 36 square meters.  The height is two more than four times the base.  Find the height and base.\r<BR>\n" );
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document.write( "GOT THIS FAR:\r<BR>\n" );
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document.write( "Let x = the base<BR>\n" );
document.write( "Let 4x + 2 = the height<BR>\n" );
document.write( "Let 36^ = area\r<BR>\n" );
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document.write( "x^2 + (4x+2)^2 = 36^2\r<BR>\n" );
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document.write( "Please help me.  I am losing my mind. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1364 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1364\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your base definition is a good start. Your height is correct. Now for the area:\r<BR>\n" );
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document.write( "area of triangle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29bh ALIGN=MIDDLE  ALT=\"%281%2F2%29bh\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, area = 36 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%28x%29%284x%2B2%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%28x%29%284x%2B2%29\"   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=72+=+4x%5E2+%2B+2x ALIGN=MIDDLE  ALT=\"72+=+4x%5E2+%2B+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so we get a quadratic, when we divide by 2 (to simplify a little): <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+x+-+36+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+x+-+36+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hopefully this factorises nicely. If not - use the quadratic formula.\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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