document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048501>Question 1048501</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm not even sure if this is the right topic, but here's my problem.<BR>\n" );
document.write( "The lengths of the sides of a rectangle are all integers. Four times its perimeter is numerically equal to one less than its area. Find the largest possible perimeter of such a rectangle.<BR>\n" );
document.write( "Now I tried manipulating the variables but I'm stuck here.<BR>\n" );
document.write( "8x+8y+1=xy<BR>\n" );
document.write( "I don't know how to relate this with the maximum value or solve x and y independently or like that, so I really need help.<BR>\n" );
document.write( "Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #664091 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=664091\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x and y are expected to be integers (or better, whole numbers).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%282x%2B2y%29=xy-1 ALIGN=MIDDLE  ALT=\"4%282x%2B2y%29=xy-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >----------the description.\r<BR>\n" );
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document.write( "The perimeter, as a function may be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28p=2x%2B2y%29 ALIGN=MIDDLE  ALT=\"highlight_green%28p=2x%2B2y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and you would want to be able to substitute for either x or for y.\r<BR>\n" );
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document.write( "Look again at the equation formed from the description.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%2B8y=xy-1 ALIGN=MIDDLE  ALT=\"8x%2B8y=xy-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%2B8y-xy=-1 ALIGN=MIDDLE  ALT=\"8x%2B8y-xy=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8y-xy=-1-8x ALIGN=MIDDLE  ALT=\"8y-xy=-1-8x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%288-x%29=-1-8x ALIGN=MIDDLE  ALT=\"y%288-x%29=-1-8x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-8x-1%29%2F%288-x%29 ALIGN=MIDDLE  ALT=\"y=%28-8x-1%29%2F%288-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28%28-8x-1%29%2F%288-x%29%29%28%28-1%29%2F%28-1%29%29 ALIGN=MIDDLE  ALT=\"y=%28%28-8x-1%29%2F%288-x%29%29%28%28-1%29%2F%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >------multiplying by 1 to produce more convenient formula,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=%288x-1%29%2F%28x-8%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=%288x-1%29%2F%28x-8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I leave the rest of this problem unfinished so that you could continue and finish. </SPAN>\n" );
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