document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97268>Question 97268</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780078738227/algebrahomeworkh>Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> What are the length (l) and width (w) of a rectangle if the area is 13-1/2 square units and the length of one side is 1/5 the measure of the perimeter?  Explain your reasoning.\r<BR>\n" );
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document.write( "8th grader needs some help & mom hasn't had an advanced math class in nearly 30 years.  Any help would be appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70791 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=70791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What are the length (l) and width (w) of a rectangle if the area is 13-1/2 square units and the length of one side is 1/5 the measure of the perimeter? Explain your reasoning. <BR>\n" );
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document.write( "Let width be x units and length be y units:<BR>\n" );
document.write( "Area = xy = 27/2 sq. units<BR>\n" );
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document.write( "Perimeter = 2x + 2y<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "x = (1/5)(2x+2y)<BR>\n" );
document.write( "x = (2/5)x + (2/5)y<BR>\n" );
document.write( "(3/5)x  = (2/5)y<BR>\n" );
document.write( "3x = 2y<BR>\n" );
document.write( "y = (3/2)x<BR>\n" );
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document.write( "Re-writing the equations:<BR>\n" );
document.write( "xy = (27/2)<BR>\n" );
document.write( "y = (3/2)x<BR>\n" );
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document.write( "Substitute to solve for x:<BR>\n" );
document.write( "x[(3/2)x] = (27/2)<BR>\n" );
document.write( "(3/2)x^2 = (27/2)<BR>\n" );
document.write( "x^2 = 9<BR>\n" );
document.write( "x = 3<BR>\n" );
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document.write( "Substitue into xy = (27/2) to solve for y:<BR>\n" );
document.write( "3y = 27/2<BR>\n" );
document.write( "y = 9/2<BR>\n" );
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document.write( "Checking:<BR>\n" );
document.write( "xy = (27/2) ?<BR>\n" );
document.write( "3(9/2) = 27/2<BR>\n" );
document.write( "27/2 = 27/2<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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