document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=666142>Question 666142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The width of a rectangular painting is 2 inches less than the length. The area is 120 inches squared. Find the length and the width. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #414322 by </B><A HREF=/tutors/aboutme.mpl?userid=Shana-D77><B>Shana-D77(132)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Shana-D77><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=Shana-D77><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=414322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The width of a rectangular painting (w) is (=) 2 inches less than ( - 2) the length (L). The area(A) is 120 inches squared. Find the length and the width.\r<BR>\n" );
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document.write( "Take out the words, leave the translation:<BR>\n" );
document.write( "w = L - 2<BR>\n" );
document.write( "A = 120<BR>\n" );
document.write( "We also know how to find Area:<BR>\n" );
document.write( "A = (L)(w)<BR>\n" );
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document.write( "Now we need to get creative:<BR>\n" );
document.write( "A = (L)(w)<BR>\n" );
document.write( "120 = (L )(L - 2)  (This is the hardest, and most important, step to know)<BR>\n" );
document.write( "120 = L^2 - 2L (multiplied L^2 by L - 2)<BR>\n" );
document.write( "L^2 - 2L - 120 = 0  (Get everything to one side before factoring)<BR>\n" );
document.write( "Q: What to numbers multiply to get -120 and add to get -2)<BR>\n" );
document.write( "A: -12*10<BR>\n" );
document.write( "So let's factor:<BR>\n" );
document.write( "(L - 12)(L + 10) = 0<BR>\n" );
document.write( "So, either L - 12 = 0 or L + 10 = 0<BR>\n" );
document.write( "If L + 10 = 0 then L = -10.  You can't have a negative length so that makes no sense.<BR>\n" );
document.write( "If L - 12 = 0 then L = 12.  This makes sense and therefore is the rectangle's length.\r<BR>\n" );
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document.write( "If the Length is 12, and the width is \"2 less than\", then the width is 10.<BR>\n" );
document.write( "Length = 12<BR>\n" );
document.write( "width = 10 </SPAN>\n" );
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