document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102926>Question 102926</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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 #74849 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=74849\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let L represent the length and W represent the width.<BR>\n" );
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document.write( "You are told that L equals 2 inches more than 2W. In equation form this is:<BR>\n" );
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document.write( "L = 2W + 2<BR>\n" );
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document.write( "Next you are told that the perimeter (P) is 34 inches. The perimeter is found by adding all<BR>\n" );
document.write( "the sides. In other words:<BR>\n" );
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document.write( "P = L + W + L + W<BR>\n" );
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document.write( "By combining like terms on the right side this can be simplified to:<BR>\n" );
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document.write( "P = 2L + 2W<BR>\n" );
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document.write( "Substitute 34 for the perimeter to get:<BR>\n" );
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document.write( "34 = 2L + 2W<BR>\n" );
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document.write( "But since L = 2W + 2 we can substitute 2W + 2 for L in the perimeter equation to get:<BR>\n" );
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document.write( "34 = 2(2W + 2) + 2W<BR>\n" );
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document.write( "Multiply out the right side by finding the product of 2 and each of the terms inside<BR>\n" );
document.write( "the parentheses. When you do, the equation becomes:<BR>\n" );
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document.write( "34 = 4W + 4 + 2W<BR>\n" );
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document.write( "Get rid of the 4 on the right side by subtracting 4 from both sides to get:<BR>\n" );
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document.write( "30 = 4W + 2W<BR>\n" );
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document.write( "Combine terms on the right side to reduce the equation to:<BR>\n" );
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document.write( "30 = 6W<BR>\n" );
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document.write( "Solve for W by dividing both sides by 6 to get:<BR>\n" );
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document.write( "5 = W<BR>\n" );
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document.write( "So we know the width is 5 inches. But our first equation tells us that the Length is<BR>\n" );
document.write( "twice the width plus 2 inches ... or 2 times 5 and then add 2. This makes the length 12<BR>\n" );
document.write( "inches.<BR>\n" );
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document.write( "In summary, the width is 5 inches and the length is 12 inches.<BR>\n" );
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document.write( "Check by adding the 4 sides: 5 + 12 + 5 + 12 to get 34 inches for the perimeter, just as <BR>\n" );
document.write( "it should be.<BR>\n" );
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document.write( "Hope this helps you to understand the problem and how to solve.<BR>\n" );
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document.write( " </SPAN>\n" );
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