document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83589>Question 83589</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help please.\r<BR>\n" );
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document.write( "If the sides of a square are decreased by 2cm, the area is decreased by 36cm^2. What were the dimensions of the original square? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60105 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=60105\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the original dimension (side) of the square.<BR>\n" );
document.write( "The original area would then be: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+x%5E2 ALIGN=MIDDLE  ALT=\"A+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now if you decrease the original side by 2cm, you will have (x-2) and the new area can be found by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is given in the problem as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-36 ALIGN=MIDDLE  ALT=\"x%5E2-36\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Now you can set up the equation to solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2+=+x%5E2-36 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2+=+x%5E2-36\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2B4+=+x%5E2-36 ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B4+=+x%5E2-36\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%2B4+=+-36 ALIGN=MIDDLE  ALT=\"-4x%2B4+=+-36\"   DISABLED_style= \"max-width:90%; height:auto;\" >Subtract 4 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x+=+-40 ALIGN=MIDDLE  ALT=\"-4x+=+-40\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+10 ALIGN=MIDDLE  ALT=\"x+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > The dimensions of the original square were 10cm by 10cm.\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "The original area was:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B0%5D+=+%2810%29%2810%29 ALIGN=MIDDLE  ALT=\"A%5B0%5D+=+%2810%29%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B0%5D+=+100 ALIGN=MIDDLE  ALT=\"A%5B0%5D+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq.cm.<BR>\n" );
document.write( "The new area is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D+=+%2810-2%29%2A%2810-2%29 ALIGN=MIDDLE  ALT=\"A%5B1%5D+=+%2810-2%29%2A%2810-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D+=+8+X+8 ALIGN=MIDDLE  ALT=\"A%5B1%5D+=+8+X+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D+=+64 ALIGN=MIDDLE  ALT=\"A%5B1%5D+=+64\"   DISABLED_style= \"max-width:90%; height:auto;\" >sq.cm.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B0%5D-A%5B1%5D+=+100-64 ALIGN=MIDDLE  ALT=\"A%5B0%5D-A%5B1%5D+=+100-64\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 36sq.cm.<BR>\n" );
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