document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=844168>Question 844168</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what will be the length of the diagonal of the square plot whose area is equal to the area of rectangular plot of leangth 45 meters and breath 40 meters ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #508589 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=508589\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The square plot is x by x.  Diagonal is d, and let's form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=x%5E2%2Bx%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=x%5E2%2Bx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is according to Pythagorean Theorem.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%282x%5E2%29 ALIGN=MIDDLE  ALT=\"d=sqrt%282x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28d=x%2Asqrt%282%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28d=x%2Asqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Area of the square plot would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Will you use this?\r<BR>\n" );
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document.write( "Rectangular plot is 45 by 40 meter*meter, so this area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2A40=1800 ALIGN=MIDDLE  ALT=\"45%2A40=1800\"   DISABLED_style= \"max-width:90%; height:auto;\" > square meters.\r<BR>\n" );
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document.write( "Back to the square plot.  The description means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x%5E2=1800%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x%5E2=1800%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and we want to use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28d=x%2Asqrt%282%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28d=x%2Asqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "We want to find d as our answer.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%281800%29 ALIGN=MIDDLE  ALT=\"x=sqrt%281800%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which you should try to use in its simplified form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%281800%29%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"d=sqrt%281800%29%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%2A1800%29 ALIGN=MIDDLE  ALT=\"sqrt%282%2A1800%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283600%29 ALIGN=MIDDLE  ALT=\"sqrt%283600%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%2A6%2A100%29 ALIGN=MIDDLE  ALT=\"sqrt%286%2A6%2A100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Final result, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d=60%29 ALIGN=MIDDLE  ALT=\"highlight%28d=60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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