document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85215>Question 85215</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if the area of a rectangle is 13.5 square units and the length is 1/5 the perimeter. what is the length and width of the rectangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61454 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=61454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let w=width of rectangle<BR>\n" );
document.write( "and l=length of rectangle\r<BR>\n" );
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document.write( "Now we are told that 2w+2l, which is the perimeter, equals five times the length\r<BR>\n" );
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document.write( "So 2w+2l=5l-------------------------eq1\r<BR>\n" );
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document.write( "and \r<BR>\n" );
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document.write( "l*w, which is the area, equals 13.5 sq units, so\r<BR>\n" );
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document.write( "l*w=13.5-------------------------------------eq2\r<BR>\n" );
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document.write( "substitute w=13.5/l from eq2 into eq1 and we have:\r<BR>\n" );
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document.write( "2(13.5/l)+2l=5l  get rid of parens\r<BR>\n" );
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document.write( "27/l+2l=5l  multiply each term by l to get rid of the fractions\r<BR>\n" );
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document.write( "27+2l^2=5l^2  subtract 2l^2 from both sides\r<BR>\n" );
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document.write( "27+2l^2-2l^2=5l^2-2l^2  collect like terms\r<BR>\n" );
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document.write( "27=3l^2  divide both sides by 3\r<BR>\n" );
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document.write( "l^2=9  take the square root of both sides<BR>\n" );
document.write( "l=+or-3 units since lengths are positive we can say that:\r<BR>\n" );
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document.write( "l=3 units-------------length <BR>\n" );
document.write( "substitute l=3 into eq1 and we get\r<BR>\n" );
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document.write( "2w+2*3=5*3 or<BR>\n" );
document.write( "2w+6=15  subtract 6 from both sides\r<BR>\n" );
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document.write( "2w+6-6=15-6  collect like terms\r<BR>\n" );
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document.write( "2w=9  divide both sides by 2\r<BR>\n" );
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document.write( "w=4.5 units--------------------- width\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "2w+2l=5l<BR>\n" );
document.write( "2*(4.5)+2*3=5*3<BR>\n" );
document.write( "9+6=15<BR>\n" );
document.write( "15=15 \r<BR>\n" );
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document.write( "also<BR>\n" );
document.write( "l*w=13.5<BR>\n" );
document.write( "3*(4.5)=13.5<BR>\n" );
document.write( "13.5=13.5\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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