document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188378>Question 188378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perimeter of a rectangle is 200cm. The Area of the Rectangle is 2491 square cm. what is the size of the rectangle?<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 #141222 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=141222\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Tahoma\" size=1.5><BR>\n" );
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document.write( "P=2L+2W= 200cm, eqn1<BR>\n" );
document.write( "A=L*W= 2491 sq.cm., eqn2\r<BR>\n" );
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document.write( "In eqn 2 we get, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2Across%28W%29%2Fcross%28W%29=2491%2FW ALIGN=MIDDLE  ALT=\"L%2Across%28W%29%2Fcross%28W%29=2491%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> L=2491/W, eqn3\r<BR>\n" );
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document.write( "Substitute eqn 3 in eqn 1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28%28highlight%282491%2FW%29%29%29%2B2W=200 ALIGN=MIDDLE  ALT=\"2%28%28highlight%282491%2FW%29%29%29%2B2W=200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4982%2FW%2B2W=200 ALIGN=MIDDLE  ALT=\"4982%2FW%2B2W=200\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284982%2B2W%5E2%29%2FW=200 ALIGN=MIDDLE  ALT=\"%284982%2B2W%5E2%29%2FW=200\"   DISABLED_style= \"max-width:90%; height:auto;\" >, cross multiply<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2W%5E2%2B4982=200W ALIGN=MIDDLE  ALT=\"2W%5E2%2B4982=200W\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2W%5E2%2B4982-200W=0 ALIGN=MIDDLE  ALT=\"2W%5E2%2B4982-200W=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, divide whole eqn by 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2-100W%2B2491=0 ALIGN=MIDDLE  ALT=\"W%5E2-100W%2B2491=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "By Quadratic, where<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a=1%2Cb=%28-100%29%2Cc=2491%29 ALIGN=MIDDLE  ALT=\"system%28a=1%2Cb=%28-100%29%2Cc=2491%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Discriminant: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=100%5E2-4%281%29%282491%29=10000-9961=red%2836%29 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=100%5E2-4%281%29%282491%29=10000-9961=red%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-%28100%29%2B-sqrt%2836%29%29%2F%282%2A1%29=100%2B-6%2F2 ALIGN=MIDDLE  ALT=\"x=%28-%28100%29%2B-sqrt%2836%29%29%2F%282%2A1%29=100%2B-6%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=100%2B6%2F2=106%2F2=red%2853%29 ALIGN=MIDDLE  ALT=\"x=100%2B6%2F2=106%2F2=red%2853%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=100-6%2F2=94%2F2=red%2847%29 ALIGN=MIDDLE  ALT=\"x=100-6%2F2=94%2F2=red%2847%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For Width you got 2 values, <font color=blue>W1=53cm; W2=47cm</font>\r<BR>\n" );
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document.write( "For Length: Via eqn 3,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B1%5D=2491%2FW%5B1%5D=2491%2F53=red%2847cm%29 ALIGN=MIDDLE  ALT=\"L%5B1%5D=2491%2FW%5B1%5D=2491%2F53=red%2847cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B2%5D=2491%2FW%5B2%5D=2491%2F47=red%2853cm%29 ALIGN=MIDDLE  ALT=\"L%5B2%5D=2491%2FW%5B2%5D=2491%2F47=red%2853cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<font color=blue>L1=47cm; L2=53cm</font>\r<BR>\n" );
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document.write( "Check on Perimeter:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200cm=2%28L%5B1%5D%29%2B2%28W%5B1%5D%29 ALIGN=MIDDLE  ALT=\"200cm=2%28L%5B1%5D%29%2B2%28W%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200cm=2%2847%29%2B2%2853%29 ALIGN=MIDDLE  ALT=\"200cm=2%2847%29%2B2%2853%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200cm=94cm%2B106cm ALIGN=MIDDLE  ALT=\"200cm=94cm%2B106cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200cm=200cm ALIGN=MIDDLE  ALT=\"200cm=200cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We use L2 & W2 on Area:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2491cm%5E2=47%2A53 ALIGN=MIDDLE  ALT=\"2491cm%5E2=47%2A53\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2491cm%5E2=2491cm%5E2 ALIGN=MIDDLE  ALT=\"2491cm%5E2=2491cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, Rectangle can be of <font color=blue>L1 & W1 or L2 & W2</font>\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Jojo</font> </SPAN>\n" );
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