document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62096>Question 62096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 4 cm less than 3 times its width. If the lenght is increased by 8 cm and the width is decreased by 2 cm, the perimeter will be 100 cm. Find the dimensions of the original rectangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42887 by </B><A HREF=/tutors/aboutme.mpl?userid=joyofmath><B>joyofmath(189)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=joyofmath><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=42887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <b>The length of a rectangle is 4 cm less than 3 times its width. If the lenght is increased by 8 cm and the width is decreased by 2 cm, the perimeter will be 100 cm. Find the dimensions of the original rectangle.</b>\r<BR>\n" );
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document.write( "Let W be the width of the original rectangle. <BR>\n" );
document.write( "Let L be the length of the original rectangle. Then, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=3W-4 ALIGN=MIDDLE  ALT=\"L=3W-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "If the perimeter becomes 100 when L is increased by 8 and when W is decreased by 2 then:\r<BR>\n" );
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document.write( "Old perimeter = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28W%2BL%29 ALIGN=MIDDLE  ALT=\"2%28W%2BL%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "New perimeter = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28W-2%2BL%2B8%29+=+100 ALIGN=MIDDLE  ALT=\"2%28W-2%2BL%2B8%29+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "We use the fact that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=3W-4 ALIGN=MIDDLE  ALT=\"L=3W-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to replace L in the new perimeter equation with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W-2 ALIGN=MIDDLE  ALT=\"W-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28W-2%2B%283W-4%29%2B8%29+=+100 ALIGN=MIDDLE  ALT=\"2%28W-2%2B%283W-4%29%2B8%29+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Or, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28W-2%2B3W-4%2B8%29+=+100 ALIGN=MIDDLE  ALT=\"2%28W-2%2B3W-4%2B8%29+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Or, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2W-4%2B6W-8%2B16+=+100 ALIGN=MIDDLE  ALT=\"2W-4%2B6W-8%2B16+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Or, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8W%2B4+=+100 ALIGN=MIDDLE  ALT=\"8W%2B4+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Or, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8W+=+96 ALIGN=MIDDLE  ALT=\"8W+=+96\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=12 ALIGN=MIDDLE  ALT=\"W=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=3W-4+=+3%2812%29-4+=+32 ALIGN=MIDDLE  ALT=\"L=3W-4+=+3%2812%29-4+=+32\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=32 ALIGN=MIDDLE  ALT=\"L=32\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Verify:<BR>\n" );
document.write( "If L is increased by 8 and W is decreased by 2 then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=40 ALIGN=MIDDLE  ALT=\"L=40\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <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;\" >. So, the perimeter is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2AL%2AW+=+100 ALIGN=MIDDLE  ALT=\"2%2AL%2AW+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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