document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1021942>Question 1021942</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A square and a triangle have the same area. The base of the triangle is 3 ft. more than the side length of the square. The height of the triangle is 1 ft. less than the base of the triangle. What is the side length of the square? What are the base and height of the triangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #637635 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=637635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x, side length of the square<BR>\n" );
document.write( "b, base of the triangle<BR>\n" );
document.write( "h, height of the triangle\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%5E2=%281%2F2%29bh%2Cb=3%2Bx%2Ch=-1%2Bb%29 ALIGN=MIDDLE  ALT=\"system%28x%5E2=%281%2F2%29bh%2Cb=3%2Bx%2Ch=-1%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can solve this system for all three variables, but you are interested in b and h.\r<BR>\n" );
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document.write( "Here is a possible start.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=h%2B1 ALIGN=MIDDLE  ALT=\"b=h%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=x-3 ALIGN=MIDDLE  ALT=\"b=x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2B1=x-3 ALIGN=MIDDLE  ALT=\"h%2B1=x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3=h%2B1 ALIGN=MIDDLE  ALT=\"x-3=h%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=h%2B1%2B3 ALIGN=MIDDLE  ALT=\"x=h%2B1%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=h%2B4 ALIGN=MIDDLE  ALT=\"x=h%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Substitute this into the area equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28h%2B4%29%5E2=%281%2F2%29bh ALIGN=MIDDLE  ALT=\"%28h%2B4%29%5E2=%281%2F2%29bh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But you ALSO have a relation between b and h which you can substitute...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28h%2B4%29%5E2=%281%2F2%29%28h%2B1%29%2Ah%29 ALIGN=MIDDLE  ALT=\"highlight%28%28h%2B4%29%5E2=%281%2F2%29%28h%2B1%29%2Ah%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is an equation in only one unknown variable, h.   Simplify and solve this for h. </SPAN>\n" );
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