document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=362684>Question 362684</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve, Show your work to help me understand.\r<BR>\n" );
document.write( "\n" );
document.write( "The length of a rectangle is 3 times the width. if the length is increased by 4cm and the width is decreased by 1cm, the perimeter will be 102cm. Find the dimensions of the origional rectangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #258870 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=258870\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 3 times the width.<BR>\n" );
document.write( " if the length is increased by 4cm and the width is decreased by 1cm,<BR>\n" );
document.write( " the perimeter will be 102cm.<BR>\n" );
document.write( "Find the dimensions of the original rectangle.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = the width of the original rectangle<BR>\n" );
document.write( "It says, \"length of a rectangle is 3 times the width.\"; so we have;<BR>\n" );
document.write( "3x = the length of the original rectangle<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(3x + 4) = length of the new rectangle<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(x-1) = width of the new rectangle<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Perimeter of the new rectangle:<BR>\n" );
document.write( "2(3x+4) + 2(x-1) = 102<BR>\n" );
document.write( "Simplify, divide by 2 and we have:<BR>\n" );
document.write( "3x + 4 + x - 1 = 51<BR>\n" );
document.write( "4x + 3 = 51<BR>\n" );
document.write( "4x = 51 - 3<BR>\n" );
document.write( "4x = 48<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2F4 ALIGN=MIDDLE  ALT=\"48%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 12 cm is the original width<BR>\n" );
document.write( "then<BR>\n" );
document.write( "3(12) = 36 cm is the original length<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check the perimeter with these values<BR>\n" );
document.write( "2(36+4) + 2(12-1) =<BR>\n" );
document.write( "2(40) + 2(11) = 102, confirms our solutions </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );