document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=666198>Question 666198</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the longest side of a triangle is twice the length of the shortest side.The third side is four inches shorter than the longest side. Find the lengths of the sides of the triangle if the perimeter is 96 inches. Can you please help me write an equation for this problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #414337 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=414337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Establish variables<BR>\n" );
document.write( "x = longest side<BR>\n" );
document.write( "y = shorest side<BR>\n" );
document.write( "z = other side<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Given<BR>\n" );
document.write( "x = 2y<BR>\n" );
document.write( "z = x-4<BR>\n" );
document.write( "x+y+z = 96<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Substitute into the perimeter equation<BR>\n" );
document.write( "x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2 ALIGN=MIDDLE  ALT=\"x%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + x-4 = 96<BR>\n" );
document.write( "Solve for x the longest side<BR>\n" );
document.write( "Multiply the entire equation by 2 to be rid of the fraction<BR>\n" );
document.write( "2x + x + 2x - 8 = 192<BR>\n" );
document.write( "5x = 192 + 8 <BR>\n" );
document.write( "5x = 200<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+40+%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+40+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >in<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Using x<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2 ALIGN=MIDDLE  ALT=\"x%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = longest side<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Using x<BR>\n" );
document.write( "z = x-4 = other side<BR>\n" );
document.write( ".....................<BR>\n" );
document.write( "Delighted to help.<BR>\n" );
document.write( "-Reading Boosters<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );