document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=280801>Question 280801</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangle is 70m. The length is 8m more than twice the width. Find the demensions </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204054 by </B><A HREF=/tutors/aboutme.mpl?userid=PRMath><B>PRMath(133)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=PRMath><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=204054\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Perimeters are the measure of a shape all the way around the shape.  In the case of a rectangle then, the perimeter is made up of TWO lengths and TWO widths.  If we say \"L\" is length and \"w\" is width, then our equation can be:\r<BR>\n" );
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document.write( "L + L + w + w = 70.  \r<BR>\n" );
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document.write( "According to your information, the Length is 8 meters more than twice the width.  Let's break that down to the following:\r<BR>\n" );
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document.write( "The Length:  L<BR>\n" );
document.write( "is:  = <BR>\n" );
document.write( "8 meters more than:  8 +<BR>\n" );
document.write( "Twice the width:  2w\r<BR>\n" );
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document.write( "In other words, the equation is:  L = 8 + 2w.\r<BR>\n" );
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document.write( "Now let's write that down according to what we said about the perimeter.  I mean to say that we agreed with the following:\r<BR>\n" );
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document.write( "L + L + w + w = 70   Let's plug in what we know for \"L\"<BR>\n" );
document.write( "(8 + 2w) + (8 + 2w) + w + w = 70  See where we plugged in (8 + 2w) for the L variable?  Now let's combine like terms.\r<BR>\n" );
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document.write( "16 + 6w = 70  Now let's subtract 16 from both sides to begin to isolate the w.<BR>\n" );
document.write( "6w = 70 - 16<BR>\n" );
document.write( "6w = 54  Now let's divide both sides by 6 to further isolate the w.<BR>\n" );
document.write( "w = 9\r<BR>\n" );
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document.write( "AH!  Now we know that the width is 9.\r<BR>\n" );
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document.write( "If the Length is 8 meters more than 2 times the width, we can use that equation again.\r<BR>\n" );
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document.write( "L = 8 + 2w<BR>\n" );
document.write( "L = 8 + 2(9) See where we plugged in 9 for the Width?<BR>\n" );
document.write( "L = 8 + 18  (2 times 9 = 18)<BR>\n" );
document.write( "L = 26\r<BR>\n" );
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document.write( "SO now our width is 9 and our length is 26.   Does this work?  Let's see:\r<BR>\n" );
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document.write( "L + L + w + w = 70<BR>\n" );
document.write( "26 + 26 + 9 + 9 = 70<BR>\n" );
document.write( "70 = 70  YES!  It works.  Yay!\r<BR>\n" );
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document.write( "I hope this helps you. :-) </SPAN>\n" );
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