document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1146620>Question 1146620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 6 inches less than 3 times the width. The perimeter is 28 inches. Find the length and the width </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #767905 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=767905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) The perimeter is twice the length plus twice the width: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+2l%2B2w ALIGN=MIDDLE  ALT=\"P+=+2l%2B2w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(2) The length is 6 inches less than 3 times the width: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l+=+3w-6 ALIGN=MIDDLE  ALT=\"l+=+3w-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Substitute (2) in (1): <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+2%283w-6%29%2B2w ALIGN=MIDDLE  ALT=\"P+=+2%283w-6%29%2B2w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(3) The perimeter is given as 28 inches: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28+=+2%283w-6%29%2B2w ALIGN=MIDDLE  ALT=\"28+=+2%283w-6%29%2B2w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve that equation for the width w using basic algebra; then use (2) to find the length.<br><BR>\n" );
document.write( "That's a good solution using formal algebra; and using the formal algebra to find the solution is good practice.<br><BR>\n" );
document.write( "But if a formal algebraic solution is not required, guess and check is the fastest way to the answer.  The perimeter is 28 inches, so length plus width is 14 inches.<br><BR>\n" );
document.write( "Try combinations of length and width with a sum of 14 and find which pair satisfies the condition that the length is 6 less than 3 times the width:<br><BR>\n" );
document.write( "1 and 13: 3(1)-6 = -3 nonsense<BR>\n" );
document.write( "2 and 12: 3(2)-6 = 0 no...<BR>\n" );
document.write( "3 and 11: 3(3)-6 = 3 no...<BR>\n" );
document.write( "4 and 10: 3(4)-6 = 6 no...<BR>\n" );
document.write( "5 and 9: 3(5)-6= 9 YES! DONE. </SPAN>\n" );
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