document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=996954>Question 996954</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Each equal side of an Isosceles 3 1/2 inches longer than the base ,the perimeter of the triangle is 2ft . .Find the length of its base. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #615214 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=615214\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x is the base.<BR>\n" );
document.write( "each side is x + 7/2 inches.<BR>\n" );
document.write( "perimeter is 2 feet = 24 inches.<BR>\n" );
document.write( "sum of the two sides is 2 * (x + 7/2) inches = 2x + 14/2 inches = 2x + 7 inches.\r<BR>\n" );
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document.write( "the sum of the two sides plus the base equals the perimeter.\r<BR>\n" );
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document.write( "x is the base and 2x + 7 is the sum of the two sides, so:\r<BR>\n" );
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document.write( "the perimeter = x + 2x + 7 = 24\r<BR>\n" );
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document.write( "combine like terms to get 3x + 7 = 24.<BR>\n" );
document.write( "subtract 7 from both sides to get 3x = 17.<BR>\n" );
document.write( "divide both sides by 3 to get x = 17/3 inches.\r<BR>\n" );
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document.write( "if x = 17/3 inches, then:\r<BR>\n" );
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document.write( "the base is equal to 17/3 inches.<BR>\n" );
document.write( "the sum of the two sides is equal to 2 * 17/3 + 7 = 34/3 + 7 = 34/3 + 21/3 = 55/3 inches.\r<BR>\n" );
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document.write( "the perimeter is equal to the sum of the base plus the sum of the other two sides which is equal to 17/3 + 55/3 = 72/3 = 24 inches.\r<BR>\n" );
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document.write( "since we are already given that the perimeter is equal to 24 inches, then we have just confirmed that x = 17/3 is correct.\r<BR>\n" );
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document.write( "you were asked to find the length of the base.\r<BR>\n" );
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document.write( "the length of the base = x = 17/3 inches.\r<BR>\n" );
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document.write( "you can simplify this further if required to get the base = x = 5 and 2/3 inches. </SPAN>\n" );
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