document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175196>Question 175196</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a rectangle is three times as long as it is wide . if its length and width are both decresed by 2cm its area is decreased by 36 cm squared . find its original dimensions  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #130268 by </B><A HREF=/tutors/aboutme.mpl?userid=KnightOwlTutor><B>KnightOwlTutor(293)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KnightOwlTutor><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=KnightOwlTutor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=130268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We know that the difference between the 2 areas is 36. Therefore we are going to set up the equation of subtracting the two areas to get the original dimensions.\r<BR>\n" );
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document.write( "x=width of the original rectangle<BR>\n" );
document.write( "3x=the length of the original rectangle\r<BR>\n" );
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document.write( "x-2=width of the smaller rectangle<BR>\n" );
document.write( "3x-2=length of the smaller rectangle\r<BR>\n" );
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document.write( "the area of a rectangle is width X length\r<BR>\n" );
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document.write( "Area of the original rectangle-Area of smaller rectangle=36\r<BR>\n" );
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document.write( "(3x*x)-[(x-2)(3x-2)]=36\r<BR>\n" );
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document.write( "Use the foil method \r<BR>\n" );
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document.write( "3x^2-2x-6x+4\r<BR>\n" );
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document.write( "(3x*x)-[3x^2-2x-6x+4]=36\r<BR>\n" );
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document.write( "multply -1 to each term contained within the bracket.<BR>\n" );
document.write( "Make sure to pay attention to the sign.<BR>\n" );
document.write( "(+)(-)=(-)<BR>\n" );
document.write( "(-)(-)=(+)\r<BR>\n" );
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document.write( "(3x^2-3x^2+2x+6x-4=36\r<BR>\n" );
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document.write( "Combine like terms and simplify\r<BR>\n" );
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document.write( "(2+6)x-4=36\r<BR>\n" );
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document.write( "8x-4=36\r<BR>\n" );
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document.write( "Add 4 to both sides of the equation\r<BR>\n" );
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document.write( "8x=40\r<BR>\n" );
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document.write( "divide both sides by 8\r<BR>\n" );
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document.write( "x=5\r<BR>\n" );
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document.write( "The dimensions of the original rectangle was 5,15\r<BR>\n" );
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document.write( "Let us double check our answer\r<BR>\n" );
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document.write( "the dimensions of the smaller rectangle is 3,13\r<BR>\n" );
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document.write( "(3*15)-(3*13)=36  75-39=36\r<BR>\n" );
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document.write( " </SPAN>\n" );
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