document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=845367>Question 845367</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the area of a rectangle is 56 and its perimeter is 30. find the difference of its length and width </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #509251 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=509251\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x and y are the dimensions, one of them length and the other width.\r<BR>\n" );
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document.write( "Area description means xy=56 and perimeter description means 2x+2y=30.  For just solving the problem asked, solving for x and y is more important and would be done first.\r<BR>\n" );
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document.write( "The perimeter equation is easily simplified to x+y=15.  This also directly gives y=15-x and can be substituted....\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=56 ALIGN=MIDDLE  ALT=\"xy=56\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2815-x%29=56 ALIGN=MIDDLE  ALT=\"x%2815-x%29=56\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x-x%5E2=56 ALIGN=MIDDLE  ALT=\"15x-x%5E2=56\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x-56-x%5E2=0 ALIGN=MIDDLE  ALT=\"15x-56-x%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-15x%2B56=0 ALIGN=MIDDLE  ALT=\"x%5E2-15x%2B56=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%28highlight%28%28x-8%29%28x-7%29=0%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28%28x-8%29%28x-7%29=0%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Easily mentally skipping steps, the difference between the length and width is ONE UNIT.<BR>\n" );
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document.write( "In case one could not skip the steps, then continuing form the factored quadratic equation, either x=7 or x=8.<BR>\n" );
document.write( "Using area equation xy=56, find that y=56/x.<BR>\n" );
document.write( "That means either y=56/7=8  or  y=56/8=7.<BR>\n" );
document.write( "Either way, the difference between x and y is 1. </SPAN>\n" );
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