document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=682017>Question 682017</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The dimensions of a rectangle are such that it's length is 3 in. more than its width. If the length were doubled and if the width were decreased by 1 in.  the area would be increased by 204 in squared. What are the length and width 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 #423007 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=423007\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The dimensions of a rectangle are such that it's length is 3 in. more than its width.<BR>\n" );
document.write( "L = W+3<BR>\n" );
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document.write( "If the length were doubled and if the width were decreased by 1 in. the area would be increased by 204 in squared.<BR>\n" );
document.write( "2L(W-1) - LW = 204<BR>\n" );
document.write( "2LW - 2L - LW = 204<BR>\n" );
document.write( "2LW - LW - 2L = 204<BR>\n" );
document.write( "LW - 2L = 204<BR>\n" );
document.write( "Factor out L<BR>\n" );
document.write( "L(W-2) = 204<BR>\n" );
document.write( "Replace L with (W+3)<BR>\n" );
document.write( "(W+3)(W-2) = 204<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "W^2 - 2W + 3W - 6 = 204<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "W^2 + W - 210 = 0<BR>\n" );
document.write( "Factors to <BR>\n" );
document.write( "(W-14)(W+15) = 0<BR>\n" );
document.write( "The positive solution<BR>\n" );
document.write( "W = 14 inches is the original width<BR>\n" );
document.write( "then<BR>\n" );
document.write( "14 + 3 = 17 inches is the original length<BR>\n" );
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document.write( "Check this by finding the area of each rectangle:<BR>\n" );
document.write( "2(17) * (14-1) = 442<BR>\n" );
document.write( "17 * 14 = 238<BR>\n" );
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document.write( "difference: 204, confirms our solutions\r<BR>\n" );
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document.write( " </SPAN>\n" );
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