document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=350680>Question 350680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You fold a large piece of paper in half four times, then unfold it. If you cut along the fold lines, how many identical rectangles will you make?\r<BR>\n" );
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document.write( "a  4  b 8  c 16   d  32 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #250668 by </B><A HREF=/tutors/aboutme.mpl?userid=jjordan95><B>jjordan95(63)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jjordan95><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=jjordan95><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=250668\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lets find out.\r<BR>\n" );
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document.write( "Start with a piece of paper.  When you fold this paper in half once, you will now have 2 identical rectangles.  A second time will give you 4, a third 8, and a fourth time will give you 16.\r<BR>\n" );
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document.write( "The algebraic equation to determine this is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%5En ALIGN=MIDDLE  ALT=\"y=2%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Where y is the number of identical rectangles and n is the number of times the paper has been folded in half.\r<BR>\n" );
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document.write( "Plugging in the numbers from your equation yields these results:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%5E4 ALIGN=MIDDLE  ALT=\"y=2%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%2A2%2A2%2A2 ALIGN=MIDDLE  ALT=\"y=2%2A2%2A2%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=16 ALIGN=MIDDLE  ALT=\"y=16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Likewise, if you folded the paper in thirds, the equation would be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%5En ALIGN=MIDDLE  ALT=\"y=3%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Where y is the number of identical rectangles and n is the number of times the paper has been folded in thirds.\r<BR>\n" );
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document.write( "The number of folds you create in the paper for each iteration is the base (2 in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5En ALIGN=MIDDLE  ALT=\"2%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" > or 3 in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5En ALIGN=MIDDLE  ALT=\"3%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" >.)\r<BR>\n" );
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document.write( "Hope this helps.<BR>\n" );
document.write( "Justin </SPAN>\n" );
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