document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=858946>Question 858946</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A triangular garden has an area of 200ft^2. It's height is 9 ft more than it's base. Find the measure of the base. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #517446 by </B><A HREF=/tutors/aboutme.mpl?userid=ben720><B>ben720(159)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ben720><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=517446\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your question was: <i>\"A triangular garden has an area of 200ft^2. It's height is 9 ft more than it's base. Find the measure of the base.\"</i><BR>\n" );
document.write( " <BR>\n" );
document.write( "let b = x<BR>\n" );
document.write( "let h = x+9<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29bh ALIGN=MIDDLE  ALT=\"A=%281%2F2%29bh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200=%281%2F2%29x%28x%2B9%29 ALIGN=MIDDLE  ALT=\"200=%281%2F2%29x%28x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Distribute the x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200=%281%2F2%29%28x%5E2%2B9x%29 ALIGN=MIDDLE  ALT=\"200=%281%2F2%29%28x%5E2%2B9x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 200 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=%281%2F2%29%28x%5E2%2B9x%29-200 ALIGN=MIDDLE  ALT=\"0=%281%2F2%29%28x%5E2%2B9x%29-200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=x%5E2%2B9x-400 ALIGN=MIDDLE  ALT=\"0=x%5E2%2B9x-400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug the values into the quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-9+%2B-+sqrt%28+9%5E2-4%2A1%2A-400+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-9+%2B-+sqrt%28+9%5E2-4%2A1%2A-400+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Do the multiplication<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-9+%2B-+sqrt%28+81%2B1600+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-9+%2B-+sqrt%28+81%2B1600+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-9+%2B-+sqrt%28+1681+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-9+%2B-+sqrt%28+1681+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The square root of 1681 is 41.<BR>\n" );
document.write( "At this point you have to split it into 2 equations: one where you <b>add</b> 41, and one where you <b>subtract</b> 41. We'll deal with the first one first.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-9%2B41%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-9%2B41%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=32%2F2 ALIGN=MIDDLE  ALT=\"x=32%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=16 ALIGN=MIDDLE  ALT=\"x=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next, deal with <b>Subtract</b> 41<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-9-41%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-9-41%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-50%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-50%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-25 ALIGN=MIDDLE  ALT=\"x=-25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since the base can't be negative, discard -25. <BR>\n" );
document.write( "The base is 16ft.<BR>\n" );
document.write( "To check, plug it in to the area formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29bh ALIGN=MIDDLE  ALT=\"A=%281%2F2%29bh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=1%2F2%2A16%2A25 ALIGN=MIDDLE  ALT=\"A=1%2F2%2A16%2A25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=200 ALIGN=MIDDLE  ALT=\"A=200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Your checked answer is 16 feet long.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );