document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121488>Question 121488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of the length to the width of a rectangle is 5:4. If the length is increased by 8 and the width halved, the ratio of the length to the width of the new rectangle is 7:2. 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 #89202 by </B><A HREF=/tutors/aboutme.mpl?userid=jaymore><B>jaymore(5)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jaymore><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=89202\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the denote length by L and Width by W\r<BR>\n" );
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document.write( "L:W=5:4.......(1)\r<BR>\n" );
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document.write( "New dimensions after length is increased by 8 and width halved<BR>\n" );
document.write( "L+8:1/2W=7:2........equation (2)\r<BR>\n" );
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document.write( "Solve the two equations\r<BR>\n" );
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document.write( "L/W=5/4...multiply both sides by W \r<BR>\n" );
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document.write( "L=5/4W\r<BR>\n" );
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document.write( "L+8/1/2W=7/2....cross multiply\r<BR>\n" );
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document.write( "2(L+8)=7/2W...open parenthesis<BR>\n" );
document.write( "2L+16=7/2W\r<BR>\n" );
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document.write( "Substitute 5/4W for L<BR>\n" );
document.write( "2(5/4W)+16=7/2W<BR>\n" );
document.write( "5/2W+16=7/2W...like terms together<BR>\n" );
document.write( "7/2W-5/2W=16<BR>\n" );
document.write( "2W/2=16..Divide by 2 on both sides<BR>\n" );
document.write( "W=16<BR>\n" );
document.write( "L=5/4W=5/4times16=20 </SPAN>\n" );
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