document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204174>Question 1204174</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is twice its width. If the width is reduced by 1 cm and the length is also reduced by 2 cm, the area will be 15cm².<BR>\n" );
document.write( "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 #840246 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=840246\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is twice its width. If the width is reduced by 1 cm and the length is also reduced by 2 cm, the area will be 15cm².<BR>\n" );
document.write( "Find the dimensions of the original rectangle.\r<BR>\n" );
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document.write( "Let width be x cm<BR>\n" );
document.write( "Length will be 2x cm .\r<BR>\n" );
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document.write( " (I have reduced length also by 1 and not 2)\r<BR>\n" );
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document.write( " If the width is reduced by 1 cm and the length is also reduced by 1 cm, the area will be 15cm².\r<BR>\n" );
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document.write( "(x-1)(2x-1)=15\r<BR>\n" );
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document.write( "2x^2-x-2x+1=15\r<BR>\n" );
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document.write( "2x^2-3x -14=0\r<BR>\n" );
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document.write( "2x^2-7x+4x-14=0\r<BR>\n" );
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document.write( "x(2x-7)+2(2x-7)=0\r<BR>\n" );
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document.write( "(2x-7)(x+2)=0\r<BR>\n" );
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document.write( "x= 7/2 0r -2\r<BR>\n" );
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document.write( "-2 not possible\r<BR>\n" );
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document.write( "x=3.5 = width\r<BR>\n" );
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document.write( "length = 2x = 7 \r<BR>\n" );
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document.write( "Area = 7*3.5 = 24.5 cm^2\r<BR>\n" );
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document.write( "So, the dimensions of the original rectangle are:<BR>\n" );
document.write( "Width (w) = 3.5cm<BR>\n" );
document.write( "Length (l) = 7 cm\r<BR>\n" );
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document.write( "Check\r<BR>\n" );
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document.write( "(7-1)(3.5-1)= 15\r<BR>\n" );
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document.write( " </SPAN>\n" );
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