document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=305672>Question 305672</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what are original dimensions- The length of a rectangle is three times its width. If the width were increased by 4 and the length remained the same, the resulting rectangle would have an area of 231 square inches. Find the demensions of the ORIGINAL rectangle.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #218845 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=218845\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what are original dimensions- The length of a rectangle is three times its width. If the width were increased by 4 and the length remained the same, the resulting rectangle would have an area of 231 square inches. Find the demensions of the ORIGINAL rectangle.\r<BR>\n" );
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document.write( "let the width be  x\r<BR>\n" );
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document.write( "length will be 3x\r<BR>\n" );
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document.write( "width increased by 4 = x+4 \r<BR>\n" );
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document.write( "Length = 3x\r<BR>\n" );
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document.write( "3x(x+4)= 231\r<BR>\n" );
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document.write( "3x^2 + 12x =231\r<BR>\n" );
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document.write( "3x^2 +12x-231=0\r<BR>\n" );
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document.write( "3(x^2+4x-77) =0\r<BR>\n" );
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document.write( "3(x+11)(x-7)=0\r<BR>\n" );
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document.write( "x=-11 OR x =7\r<BR>\n" );
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document.write( "the width cannot be negative \r<BR>\n" );
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document.write( "so width = 7\r<BR>\n" );
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document.write( "length = 3x = 3*7 =21\r<BR>\n" );
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document.write( "7 by 21 are the dimensions of the original rectangle </SPAN>\n" );
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