document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131658>Question 131658</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Anton Smith is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 4 meters, the new total area of the gardn will be 100 square meters. Find the length of each side of the original garden. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96111 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=96111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the original side length is x, then the new side length must be x + 4.  The area of a square is the length of the side squared, so\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%5E2=100 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%5E2=100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B8x%2B16=100 ALIGN=MIDDLE  ALT=\"x%5E2%2B8x%2B16=100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B8x-84=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B8x-84=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6+%2A+14+=+-84 ALIGN=MIDDLE  ALT=\"-6+%2A+14+=+-84\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%2B14=8 ALIGN=MIDDLE  ALT=\"-6%2B14=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-6%29%28x%2B14%29=0 ALIGN=MIDDLE  ALT=\"%28x-6%29%28x%2B14%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6 ALIGN=MIDDLE  ALT=\"x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-14 ALIGN=MIDDLE  ALT=\"x=-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Since we are looking for a measure of length, -14 doesn't make sense, so we can exclude this root as extraneous caused by squaring the variable.  The original length of the side of the garden is then 6 meters.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Check the answer:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2B4=10 ALIGN=MIDDLE  ALT=\"6%2B4=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E2=100 ALIGN=MIDDLE  ALT=\"10%5E2=100\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );