document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=223729>Question 223729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangle is 64 meters. the sum of the length and width is 32 meters. Find the length and width of the rectangle. <BR>\n" );
document.write( "Tried 2x+2y= 64<BR>\n" );
document.write( "x+y=32...now what? Thanks so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #167210 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=167210\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Take note that the same 'x's and 'y's are being used here. So we can use this fact to eliminate one variable so we can solve for the other. There are many ways to do this, but I'll use substitution.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=32 ALIGN=MIDDLE  ALT=\"x%2By=32\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the second equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=32-x ALIGN=MIDDLE  ALT=\"y=32-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 'x' from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2y=64 ALIGN=MIDDLE  ALT=\"2x%2B2y=64\"   DISABLED_style= \"max-width:90%; height:auto;\" > Move onto the first equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2highlight%28%2832-x%29%29=64 ALIGN=MIDDLE  ALT=\"2x%2B2highlight%28%2832-x%29%29=64\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=32-x ALIGN=MIDDLE  ALT=\"y=32-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In other words, replace each 'y' with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32-x ALIGN=MIDDLE  ALT=\"32-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > (this is possible since the two are equal).\r<BR>\n" );
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document.write( "So we now have the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2%2832-x%29=64 ALIGN=MIDDLE  ALT=\"2x%2B2%2832-x%29=64\"   DISABLED_style= \"max-width:90%; height:auto;\" > which now consists of one variable. Simply solve this equation to find 'x'. I'll let you do that (let me know if you still need help). Once you find 'x', plug that value into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=32-x ALIGN=MIDDLE  ALT=\"y=32-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find 'y'. </SPAN>\n" );
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