document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=2445>Question 2445</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A poster has dimensions that are 25 cm by 30 cm is surrounded by a border of uniform width. If the area of the border is 174 cm^2, find the outside perimeter of the border. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1043 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1043\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> draw it.\r<BR>\n" );
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document.write( "Let x = width of the border.\r<BR>\n" );
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document.write( "total area, A = area of border + area of poster<BR>\n" );
document.write( "So, A =  174 + 750<BR>\n" );
document.write( "A = 924\r<BR>\n" );
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document.write( "Algebraically, A = (total length)(total width)\r<BR>\n" );
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document.write( "total length = 30 + 2x<BR>\n" );
document.write( "total width = 25 + 2x\r<BR>\n" );
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document.write( "so A = (30+2x)(25+2x)<BR>\n" );
document.write( "A = 750 + 60x + 50x + 4x^2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+4x%5E2+%2B+110x+%2B+750 ALIGN=MIDDLE  ALT=\"A+=+4x%5E2+%2B+110x+%2B+750\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+%2B+110x+%2B+750 ALIGN=MIDDLE  ALT=\"4x%5E2+%2B+110x+%2B+750\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 924<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+%2B+110x+-+174+=+0 ALIGN=MIDDLE  ALT=\"4x%5E2+%2B+110x+-+174+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+55x+-+87+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+55x+-+87+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-55+%2B-+sqrt%2855%5E2+-+4%282%29%28-87%29%29%29%2F%282%2A2%29 ALIGN=MIDDLE  ALT=\"%28-55+%2B-+sqrt%2855%5E2+-+4%282%29%28-87%29%29%29%2F%282%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-55+%2B-+sqrt%283025+%2B+696%29%29%2F%284%29 ALIGN=MIDDLE  ALT=\"%28-55+%2B-+sqrt%283025+%2B+696%29%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-55+%2B-+sqrt%283721%29%29%2F%284%29 ALIGN=MIDDLE  ALT=\"%28-55+%2B-+sqrt%283721%29%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-55+%2B-+61%29%2F%284%29 ALIGN=MIDDLE  ALT=\"%28-55+%2B-+61%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so x=6/4 or x=-116/2\r<BR>\n" );
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document.write( "so x=1.5, -58\r<BR>\n" );
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document.write( "So, physically, the answer is x=1.5, so total length = 33 and total width = 28\r<BR>\n" );
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document.write( "To answer the question, the perimeter = 33+28+33+28 = 122cm\r<BR>\n" );
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document.write( "jon. </SPAN>\n" );
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