document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=302686>Question 302686</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have presented this problem in the past and have not gotten a clear understanding of what is the correct formula and steps to take to get the correct answer. Please Help!!!\r<BR>\n" );
document.write( "\n" );
document.write( "Ther perimeter of a rectangle is 20 meters.  If the length is increased by four times the width, the sum is 19 meters.  What are the dimensions of the rectangle?  What is its area? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #217019 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=217019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangle is 20 meters.<BR>\n" );
document.write( " If the length is increased by four times the width, the sum is 19 meters.<BR>\n" );
document.write( " What are the dimensions of the rectangle? What is its area?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let L = the length of the rectangle<BR>\n" );
document.write( "Let W = the width<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation for each statement<BR>\n" );
document.write( "\"The perimeter of a rectangle is 20 meters.\"<BR>\n" );
document.write( "2L + 2W = 20<BR>\n" );
document.write( "We can simplify this divide by 2, results:<BR>\n" );
document.write( "L + W = 10<BR>\n" );
document.write( "W = (10-L); this form for substitution<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"the length is increased by four times the width, the sum is 19 meters.\"<BR>\n" );
document.write( "L + 4W = 19<BR>\n" );
document.write( "Substitute W with (10-L)<BR>\n" );
document.write( "L + 4(10-L) = 19<BR>\n" );
document.write( "L + 40 - 4L = 19<BR>\n" );
document.write( "L - 4L = 19 - 40<BR>\n" );
document.write( "-3L = - 21<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-21%29%2F%28-3%29 ALIGN=MIDDLE  ALT=\"%28-21%29%2F%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "L = +7m is the length<BR>\n" );
document.write( ":<BR>\n" );
document.write( "What are the dimensions of the rectangle?<BR>\n" );
document.write( "find the width<BR>\n" );
document.write( "W = 10 - L<BR>\n" );
document.write( "W = 10 - 7<BR>\n" );
document.write( "W = 3m<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Dimensions: 7 by 3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "What is its area? 7 * 3 = 21 sq/m<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solutions by finding the perimeter with these dimensions<BR>\n" );
document.write( "2(7) + 2(3) = 20 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );