document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=753059>Question 753059</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I've been stuck on this problem since Friday. Help please.  \r<BR>\n" );
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document.write( "The length of a rectangle is 4 inches shorter than twice the width. If the perimeter of the rectangle is 34 inches, find the length and the width of the triangle.\r<BR>\n" );
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document.write( "The answer on the paper is L=10 W=7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #458198 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=458198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let W = the width of the rectangle<BR>\n" );
document.write( "Let L = the length of the rectangle<BR>\n" );
document.write( "The problem most of my students have is to remember the formula for the perimeter, p. It is<BR>\n" );
document.write( "(1) p = 2*L + 2*W, do you have this?<BR>\n" );
document.write( "Next write the expression for length as given by the problem statement, namely that the lenght is 4 less than twice the width or<BR>\n" );
document.write( "(2) L = 2*W - 4. Do you have that?<BR>\n" );
document.write( "Now put L of (2) into (1) and get<BR>\n" );
document.write( "(3) p = 2*(2*W - 4) + 2*W <BR>\n" );
document.write( "Now set (3) to the perimeter of 34 inches and get<BR>\n" );
document.write( "(4) 2*(2*W - 4) + 2*W = 34<BR>\n" );
document.write( "Now simplify (4) to obtain<BR>\n" );
document.write( "(5) 4*W - 8 + 2*W = 34 or<BR>\n" );
document.write( "(6) 6*W = 34 + 8 or<BR>\n" );
document.write( "(7) 6*W = 42 or<BR>\n" );
document.write( "(8) W = 42/6 or<BR>\n" );
document.write( "(9) W = 7<BR>\n" );
document.write( "Then from (1) we get<BR>\n" );
document.write( "(10) L = 2*7 - 4 or<BR>\n" );
document.write( "(11) L = 10<BR>\n" );
document.write( "Let's check these values.<BR>\n" );
document.write( "Is (2*10 + 2*7 = 34)?<BR>\n" );
document.write( "Is (20 + 14 = 34)?<BR>\n" );
document.write( "Is (34 = 34)? Yes<BR>\n" );
document.write( "Answer: The lenght of the rectangle is 10 inches and the width is 7 inches. </SPAN>\n" );
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