document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=949644>Question 949644</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A square painting is surrounded by a 2.5 cm frame.If the total area of the painting plus frame is 3600 sq cm, find the dimensions of painting<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #579783 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=579783\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assign variables to everything, and use a drawing to help.<BR>\n" );
document.write( "x, the side length of the square painting<BR>\n" );
document.write( "w, the uniform width around the painting<BR>\n" );
document.write( "A, area of frame plus the painting<BR>\n" );
document.write( "Given values:<BR>\n" );
document.write( "x, unknown<BR>\n" );
document.write( "w=2.5 cm<BR>\n" );
document.write( "A=3600 square cm\r<BR>\n" );
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document.write( "Total Area, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2w%29%5E2=A ALIGN=MIDDLE  ALT=\"%28x%2B2w%29%5E2=A\"   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=x%5E2%2B4wx%2B4w%5E2-A=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B4wx%2B4w%5E2-A=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving process can continue completely in symbols but easier here to<BR>\n" );
document.write( "plug in the given values now.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4%282.5%29x%2B4%282.5%29%5E2-3600=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B4%282.5%29x%2B4%282.5%29%5E2-3600=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x%5E2%2B10x-3575=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x%5E2%2B10x-3575=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Discriminant is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2B4%283575%29=14400=%28120%29%5E2 ALIGN=MIDDLE  ALT=\"100%2B4%283575%29=14400=%28120%29%5E2\"   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=x=%28-10%2B-+sqrt%28120%5E2%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-10%2B-+sqrt%28120%5E2%29%29%2F2\"   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=x=%28-10%2B-+120%29%2F2=highlight_green%28-5%2B-+60%29 ALIGN=MIDDLE  ALT=\"x=%28-10%2B-+120%29%2F2=highlight_green%28-5%2B-+60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The MINUS 60 form makes no sense, so use the PLUS form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=55%29 ALIGN=MIDDLE  ALT=\"highlight%28x=55%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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