document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126270>Question 126270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Geometry. The length of a rectangle is 2 in. more than twice its width. If the<BR>\n" );
document.write( "perimeter of the rectangle is 34 in., find the dimensions 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 #92511 by </B><A HREF=/tutors/aboutme.mpl?userid=JessicaGill><B>JessicaGill(40)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JessicaGill><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=92511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let us begin by assigning variables to the length and height of the rectangle, it is also called base and height, so as long as you are assigning the correct variable to the correct side you should be ok.  Remember if taking a test, use the notation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2b%2B2h ALIGN=MIDDLE  ALT=\"P=2b%2B2h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "             Perimeter equals 2 times the base plus 2 times the height.\r<BR>\n" );
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document.write( "1. Let the width be W and the Lenght be L.\r<BR>\n" );
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document.write( "2.  The formula for a perimiter of a rectangle is P=2l+2w (2 times the lenght plus 2 times the width)\r<BR>\n" );
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document.write( "3. In this problem the length is 2 inches greater than 2 times the width so let us set L to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Aw%29%2B2 ALIGN=MIDDLE  ALT=\"%282%2Aw%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and W will remain the same.\r<BR>\n" );
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document.write( "4.  Now let us plug these values into our formula.<BR>\n" );
document.write( "       <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34=2%2A%28%282%2Aw%29%2B2%29%2B2%2Aw ALIGN=MIDDLE  ALT=\"34=2%2A%28%282%2Aw%29%2B2%29%2B2%2Aw\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "5.  Now all that is left is to solve for W.  We solve this just like any single variable equation.  We need to isolate the W to one side of the equation.\r<BR>\n" );
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document.write( "Remember the order of operations when doing problems.<BR>\n" );
document.write( "                   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34=2%2A%28%282%2Aw%29%2B2%29%2B2%2Aw ALIGN=MIDDLE  ALT=\"34=2%2A%28%282%2Aw%29%2B2%29%2B2%2Aw\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "First let us use the distributive property of multiplication.  We need to multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Aw%29%2B2 ALIGN=MIDDLE  ALT=\"%282%2Aw%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > by 2.  <BR>\n" );
document.write( "This gives us <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4w%2B4%29 ALIGN=MIDDLE  ALT=\"4w%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So now our formula looks like this <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34=4w%2B4%2B2w ALIGN=MIDDLE  ALT=\"34=4w%2B4%2B2w\"   DISABLED_style= \"max-width:90%; height:auto;\" > or to simplfy <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34=6w%2B4 ALIGN=MIDDLE  ALT=\"34=6w%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we need to subtract 4 from each side of the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34-4=6w%2B4-4 ALIGN=MIDDLE  ALT=\"34-4=6w%2B4-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Which gives us <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30=6w ALIGN=MIDDLE  ALT=\"30=6w\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now divide each side of the equation by 6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F6=6w%2F6 ALIGN=MIDDLE  ALT=\"30%2F6=6w%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This leaves us with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5=w ALIGN=MIDDLE  ALT=\"5=w\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we have determined that the W or width of our rectangle is 5.  The next step is to check our work by plugging in 5 for the w in our perimeter equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34=2%2A%282w%2B2%29%2B2w ALIGN=MIDDLE  ALT=\"34=2%2A%282w%2B2%29%2B2w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34=%282%2A%282%2A5%29%2B2%29%2B2%2A5 ALIGN=MIDDLE  ALT=\"34=%282%2A%282%2A5%29%2B2%29%2B2%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  replacing w with 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34=%282%2A%2810%29%2B4%29%2B10 ALIGN=MIDDLE  ALT=\"34=%282%2A%2810%29%2B4%29%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >    following order of operations, multiplication<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34=20%2B4%2B10 ALIGN=MIDDLE  ALT=\"34=20%2B4%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >          addition<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34=34 ALIGN=MIDDLE  ALT=\"34=34\"   DISABLED_style= \"max-width:90%; height:auto;\" >               result\r<BR>\n" );
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document.write( "So our width is 5, now to figure our length  with is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2A5%29%2B2 ALIGN=MIDDLE  ALT=\"%282%2A5%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2B2 ALIGN=MIDDLE  ALT=\"10%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which simplifies to 12.\r<BR>\n" );
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document.write( "Answers   Width 5   Length 12\r<BR>\n" );
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document.write( "Simple check   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34=2%2A5%2B2%2A12 ALIGN=MIDDLE  ALT=\"34=2%2A5%2B2%2A12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "               <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34=10%2B24 ALIGN=MIDDLE  ALT=\"34=10%2B24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "               <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34=34 ALIGN=MIDDLE  ALT=\"34=34\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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