document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=338568>Question 338568</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two times the length plus two times the width equals the perimeter of a rectangle. The perimeter of the rectangle is 56 meters. Twice the length of the rectangle is one more than three times the width. What is the length of the rectangle? What is the 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 #242735 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=242735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for each statement:<BR>\n" );
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document.write( "Two times the length plus two times the width equals the perimeter of a rectangle.<BR>\n" );
document.write( "2L + 2W = P<BR>\n" );
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document.write( " The perimeter of the rectangle is 56 meters.<BR>\n" );
document.write( "2L + 2W = 56<BR>\n" );
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document.write( "Twice the length of the rectangle is one more than three times the width.<BR>\n" );
document.write( "2L = 3W + 1<BR>\n" );
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document.write( "Looking at this we can replace 2L in the 2nd equation with (3W+1), so we have:<BR>\n" );
document.write( "(3W+1) + 2W = 56<BR>\n" );
document.write( "5W + 1 = 56<BR>\n" );
document.write( "5W = 56 - 1<BR>\n" );
document.write( "5W = 55<BR>\n" );
document.write( "W = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55%2F5 ALIGN=MIDDLE  ALT=\"55%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "W = 11 m is the width<BR>\n" );
document.write( "then<BR>\n" );
document.write( "we know 2L = 3W + 1; replace W with 11<BR>\n" );
document.write( "2L = 3(11) + 1<BR>\n" );
document.write( "2L = 33 + 1<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34%2F2 ALIGN=MIDDLE  ALT=\"34%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "L = 17 m is the length<BR>\n" );
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document.write( "Check this in the perimeter equation<BR>\n" );
document.write( "2(17) + 2(11) = 56<BR>\n" );
document.write( "34 + 22 = 56<BR>\n" );
document.write( "and <BR>\n" );
document.write( "2L = 3W + 1<BR>\n" );
document.write( "34 = 3(11) + 1; confirms our solution: L = 17; W = 11\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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