document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762963>Question 762963</A>: <I><SPAN STYLE=\"word-break: break-all;\"> you have a wooden board that measures 54 cm by 90 cm. you want to cut the board into identical square pieces with integer side lengths and use all of the wood </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464381 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=464381\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Area for the rectangular form of board is 54*90=27*2*9*2*5=3*3*3*2*3*3*2*5=3^5 * 2^2 * 5 =9*2*sqrt(15)=18*sqrt(15)\r<BR>\n" );
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document.write( "54:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A3%2A3%2A2 ALIGN=MIDDLE  ALT=\"3%2A3%2A3%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "90: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A3%2A2%2A5 ALIGN=MIDDLE  ALT=\"3%2A3%2A2%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Common factor is 2*3*3=18<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2F18=5 ALIGN=MIDDLE  ALT=\"90%2F18=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%2F18=3 ALIGN=MIDDLE  ALT=\"54%2F18=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The noncommon factors may give what we want.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=324%2A15=54%2A90=4860 ALIGN=MIDDLE  ALT=\"324%2A15=54%2A90=4860\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "324 squares of side 15 cm each   </SPAN>\n" );
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