document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388202>Question 388202</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle has an area given by A = x2 + 5x + 6<BR>\n" );
document.write( "    Find an expression for the possible length of the rectangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #274495 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=274495\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your are given an expression for the area. But you also know that the area of a rectangle is length times width. So the expression you were given, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B5x%2B6 ALIGN=MIDDLE  ALT=\"x%5E2%2B5x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > must be equal to the length of the rectangle times its width. This means that by factoring the expression we can see expressions for the length and the width.<br><BR>\n" );
document.write( "Factoring <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B5x%2B6 ALIGN=MIDDLE  ALT=\"x%5E2%2B5x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get (x+2)(x+3). One of these factors is the width and the other is the length. If you believe that lengths are always longer than widths, then the length will be the larger factor: x+3.<br><BR>\n" );
document.write( "Note: the \"x\" does not represent either the width or length. It is simply a number which the width is 2 larger than and the length is 3 larger than. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );