document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=94739>Question 94739</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131492624/algebrahomeworkh>Introductory algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A triangular region has a perimeter of 66 meters. The first side is two-thirds of the second side. The third side is 14 meters shorter than the second side. What are the lengths of the three sides of the triangular region? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69021 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=69021\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = length of the 2nd side<BR>\n" );
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document.write( "It says,\" The first side is two-thirds of the second side.\" Therefore:<BR>\n" );
document.write( "1st side = 2x/3<BR>\n" );
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document.write( "It also says,\"The third side is 14 meters shorter than the second side.\" Therefore:<BR>\n" );
document.write( "3rd side = (x-14)<BR>\n" );
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document.write( "What are the lengths of the three sides of the triangular region?<BR>\n" );
document.write( "It says \"A triangular region has a perimeter of 66 meters.\" Therefore:<BR>\n" );
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document.write( "side 1 + side 2 + side 3 = 66<BR>\n" );
document.write( "(2x/3) + x + (x-14) = 66<BR>\n" );
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document.write( "Multiply equation by 3 to get rid of the denominator:<BR>\n" );
document.write( "2x + 3x + 3(x-14) = 3(66)<BR>\n" );
document.write( "2x + 3x + 3x - 42 = 198<BR>\n" );
document.write( " 8x = 198 + 42<BR>\n" );
document.write( " 8x = 240<BR>\n" );
document.write( " x = 240/8<BR>\n" );
document.write( " x = 30 m, the length of side 2<BR>\n" );
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document.write( "2/3(30) = 20 m, the length of side 1<BR>\n" );
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document.write( "30 - 14 = 16m, the length of side 3<BR>\n" );
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document.write( "Check solution, using the perimeter:<BR>\n" );
document.write( "20 + 16 + 30 = 66 </SPAN>\n" );
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