document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151919>Question 151919</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tom's uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. THe second longest side is 2 yards shorter than the longest side. What is the length of each side? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111680 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=111680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's start by assigning letters to the three sides.<BR>\n" );
document.write( "A = longest side.<BR>\n" );
document.write( "B = second longest side.<BR>\n" );
document.write( "C = shortest side.<BR>\n" );
document.write( "The problem says that the perimeter (A+B+C) is 378 yards, so you can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB%2BC+=+378 ALIGN=MIDDLE  ALT=\"A%2BB%2BC+=+378\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The problem also states that the shortest side, (C), is 30 yards longer than one half of the longest side, (A), so you can express this as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+30%2B%281%2F2%29A ALIGN=MIDDLE  ALT=\"C+=+30%2B%281%2F2%29A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And, according to the problem statement, the second longest side (B) is 2 yards shorter than the longest side, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+A-2 ALIGN=MIDDLE  ALT=\"B+=+A-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you can make the following substitutions into the first equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB%2BC+=+378 ALIGN=MIDDLE  ALT=\"A%2BB%2BC+=+378\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For B substitute A-2 and for C substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2B%281%2F2%29A ALIGN=MIDDLE  ALT=\"30%2B%281%2F2%29A\"   DISABLED_style= \"max-width:90%; height:auto;\" >, to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2B%28A-2%29%2B%2830%2B%281%2F2%29A%29+=+378 ALIGN=MIDDLE  ALT=\"A%2B%28A-2%29%2B%2830%2B%281%2F2%29A%29+=+378\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for A. Multiply through by 2 to clear the fraction.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2A%2B2%28A-2%29%2B2%2830%2B%281%2F2%29A%29+=+756 ALIGN=MIDDLE  ALT=\"2A%2B2%28A-2%29%2B2%2830%2B%281%2F2%29A%29+=+756\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like-terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2A%2B2A-4%2B60%2BA+=+756 ALIGN=MIDDLE  ALT=\"2A%2B2A-4%2B60%2BA+=+756\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5A%2B56+=+756 ALIGN=MIDDLE  ALT=\"5A%2B56+=+756\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 56 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5A+=+700 ALIGN=MIDDLE  ALT=\"5A+=+700\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+140 ALIGN=MIDDLE  ALT=\"A+=+140\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+A-2 ALIGN=MIDDLE  ALT=\"B+=+A-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+138 ALIGN=MIDDLE  ALT=\"B+=+138\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+30%2B%281%2F2%29A ALIGN=MIDDLE  ALT=\"C+=+30%2B%281%2F2%29A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+30%2B140%2F2 ALIGN=MIDDLE  ALT=\"C+=+30%2B140%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+30%2B70 ALIGN=MIDDLE  ALT=\"C+=+30%2B70\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+100 ALIGN=MIDDLE  ALT=\"C+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The sides are:<BR>\n" );
document.write( "A (the longest side) = 140 yards.<BR>\n" );
document.write( "B (the second longest side) = 138 yards.<BR>\n" );
document.write( "C (the shortest side) = 100 yards.<BR>\n" );
document.write( "Let's see if these add up to the given perimeter.<BR>\n" );
document.write( "140+138+100 = 378 \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );