document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=211729>Question 211729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Each side of an equilateral triangle is 4 cm longer than the side of a square. The sum of the perimeters of the two figures is 96 cm. How long is each side of the triangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160060 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=160060\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Each side of an equilateral triangle is 4 cm longer than the side of a square. The sum of the perimeters of the two figures is 96 cm. How long is each side of the triangle?\r<BR>\n" );
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document.write( "Let each side of the square be S\r<BR>\n" );
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document.write( "Since each side of the triangle is 4 cm longer than each side of the square, then each side of the triangle is (S + 4)\r<BR>\n" );
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document.write( "The perimeter of the square would be 4S (all sides are equal)\r<BR>\n" );
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document.write( "The perimeter of the equilateral triangle is 3(S + 4), or 3S + 12\r<BR>\n" );
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document.write( "Since the sum of both perimeters equals 96, then we have:\r<BR>\n" );
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document.write( "4S + 3S + 12 = 96\r<BR>\n" );
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document.write( "7S = 84\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S++=+84%2F7 ALIGN=MIDDLE  ALT=\"S++=+84%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 12 cm\r<BR>\n" );
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document.write( "Therefore, each side of the square, or S, equals 12, which makes each side of the triangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2816%29 ALIGN=MIDDLE  ALT=\"highlight_green%2816%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (12 + 4) cm.\r<BR>\n" );
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