document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=6104>Question 6104</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle is 4 times as long as it is wide. A second rectangle is 5 centimeters longer and 2 centimeters wider than the first. The areaof the second rectangle is 270 sq. centimeters greater than the first. What are the dimentions 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 #3244 by </B><A HREF=/tutors/aboutme.mpl?userid=Abbey><B>Abbey(339)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Abbey><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=3244\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = width of rectangle 1<BR>\n" );
document.write( "let 4*x=length (it is 4 times as long as the width) of rectangle 1<BR>\n" );
document.write( "area=length*width<BR>\n" );
document.write( "area of rectangle 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A4x=4x%5E2 ALIGN=MIDDLE  ALT=\"x%2A4x=4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "let x+2 = width of rectangle 2\r<BR>\n" );
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document.write( "let 4x+5 = length of rectangle 2<BR>\n" );
document.write( "area=length*width<BR>\n" );
document.write( "area of rectangle 2=(4x+5)(x+2)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B13x%2B10 ALIGN=MIDDLE  ALT=\"4x%5E2%2B13x%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "area of rec.2 is 270 cm greater than rec.1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B13x%2B10=270%2B4x%5E2 ALIGN=MIDDLE  ALT=\"4x%5E2%2B13x%2B10=270%2B4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2 ALIGN=MIDDLE  ALT=\"4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13x%2B10=270 ALIGN=MIDDLE  ALT=\"13x%2B10=270\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtract 10 from both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13x=260 ALIGN=MIDDLE  ALT=\"13x=260\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by 13:<BR>\n" );
document.write( "x=20<BR>\n" );
document.write( "now plug this back into your statements:\r<BR>\n" );
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document.write( "let x = width of rectangle 1 = 20<BR>\n" );
document.write( "let 4*x=length = 80\r<BR>\n" );
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document.write( "let x+2 = width of rectangle 2 = 22\r<BR>\n" );
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document.write( "let 4x+5 = length of rectangle 2 = 85\r<BR>\n" );
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document.write( "to check, get the area of both and find the difference<BR>\n" );
document.write( "area 1 = 20*80=1600<BR>\n" );
document.write( "area 2 = 22*85= 1870<BR>\n" );
document.write( "1870-1600=270, so the answer is correct\r<BR>\n" );
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document.write( " </SPAN>\n" );
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