document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1046667>Question 1046667</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ref. Question 1046639:\r<BR>\n" );
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document.write( "\"(s + 5) (s - 4) = s^2<BR>\n" );
document.write( " s^2 + s - 20 = s^2<BR>\n" );
document.write( " s = 20ft for the Square\"\r<BR>\n" );
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document.write( "I don't understand these steps.  Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #662144 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=662144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "given:<BR>\n" );
document.write( "A square garden is to be enlarged to a rectangular by adding <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5ft ALIGN=MIDDLE  ALT=\"5ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >, to the length and deducting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4ft ALIGN=MIDDLE  ALT=\"4ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( " the area will be unchanged\r<BR>\n" );
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document.write( "to find:  present and new dimensions\r<BR>\n" );
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document.write( "as you know, the area of a square is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=+length+%2A+width ALIGN=MIDDLE  ALT=\"A=+length+%2A+width\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" > = side of square\r<BR>\n" );
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document.write( "so, the area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=s%5E2 ALIGN=MIDDLE  ALT=\"A=s%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >........eq.1\r<BR>\n" );
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document.write( "now you want to make a rectangle from that square by adding <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5ft ALIGN=MIDDLE  ALT=\"5ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" > and  the width reducing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4ft ALIGN=MIDDLE  ALT=\"4ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "so, rectangle will have:<BR>\n" );
document.write( "the length: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28s+%2B+5%29 ALIGN=MIDDLE  ALT=\"%28s+%2B+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Width: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28s+-+4%29 ALIGN=MIDDLE  ALT=\"%28s+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the area of rectangle will be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28s+%2B+5%29+%28s+-+4%29 ALIGN=MIDDLE  ALT=\"A=%28s+%2B+5%29+%28s+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...expand <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A=+s%2As+%2B+5%2As+-+s%2A4-5%2A4 ALIGN=MIDDLE  ALT=\"+A=+s%2As+%2B+5%2As+-+s%2A4-5%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=+s%5E2+%2B+5s+-+4s-20 ALIGN=MIDDLE  ALT=\"A=+s%5E2+%2B+5s+-+4s-20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=+s%5E2+%2B+s+-20 ALIGN=MIDDLE  ALT=\"A=+s%5E2+%2B+s+-20\"   DISABLED_style= \"max-width:90%; height:auto;\" >.............eq.2\r<BR>\n" );
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document.write( "now we have:<BR>\n" );
document.write( "A=s^2.............eq.1<BR>\n" );
document.write( "A= s^2 + s -20.............eq.2<BR>\n" );
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document.write( "since area is unchanged, left sides are equal; so, make equal right sides and solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   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=s%5E2=s%5E2+%2B+s+-20 ALIGN=MIDDLE  ALT=\"s%5E2=s%5E2+%2B+s+-20\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....move all terms from right to the left\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2-s%5E2+-+s+%2B20=0 ALIGN=MIDDLE  ALT=\"s%5E2-s%5E2+-+s+%2B20=0\"   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=-+s+%2B20=0 ALIGN=MIDDLE  ALT=\"-+s+%2B20=0\"   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=20=s+ ALIGN=MIDDLE  ALT=\"20=s+\"   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=s=20+ ALIGN=MIDDLE  ALT=\"s=20+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, when we have square, side length is \r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=20ft+ ALIGN=MIDDLE  ALT=\"s=20ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ->present  dimensions\r<BR>\n" );
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document.write( "and area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20ft%2A20ft=400ft%5E2 ALIGN=MIDDLE  ALT=\"A=20ft%2A20ft=400ft%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "when we make rectangle the length will be:\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20ft%2B5ft=25ft ALIGN=MIDDLE  ALT=\"20ft%2B5ft=25ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <BR>\n" );
document.write( "the width will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20ft-4ft=16ft ALIGN=MIDDLE  ALT=\"20ft-4ft=16ft\"   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=A=25ft%2A16ft=400ft%5E2 ALIGN=MIDDLE  ALT=\"A=25ft%2A16ft=400ft%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );