document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166619>Question 1166619</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is three inches more than its width. It’s area is 130 in2. Find the width and length of the rectangle.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #791128 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=791128\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "width: w<BR>\n" );
document.write( "length: w+3<BR>\n" );
document.write( "area: w(w+3)=130<br><BR>\n" );
document.write( "If a formal algebraic solution is required, then<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%28w%2B3%29=130 ALIGN=MIDDLE  ALT=\"w%28w%2B3%29=130\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2%2B3w-130=0 ALIGN=MIDDLE  ALT=\"w%5E2%2B3w-130=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w-10%29%28w%2B13%29=0 ALIGN=MIDDLE  ALT=\"%28w-10%29%28w%2B13%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=10 ALIGN=MIDDLE  ALT=\"w=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > OR <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=-13 ALIGN=MIDDLE  ALT=\"w=-13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Reject the solution w=-13 because it makes no sense in the problem.<br><BR>\n" );
document.write( "ANSWER: width = w = 10; length = w+3 = 13.<br><BR>\n" );
document.write( "Note that to solve the problem using formal algebra, you had to factor that quadratic equation, which means finding two numbers whose difference is 3 and whose product is 130.<br><BR>\n" );
document.write( "But that's what the original problem asked you to do....  So the formal algebra didn't save you any work.<br><BR>\n" );
document.write( "So if formal algebra is not required, simply look at the area of 130 and see that it is 13 times 10; 13 is 3 more than 10, so you have the answer, and in only a few seconds.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );