document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256212>Question 256212</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle parcel of land is 50ft wide. The length of a diagonal between opposite corners is 10ft more than the length of the parcel. What is the length of the parcel?\r<BR>\n" );
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document.write( "x= length in ft of the parcel<BR>\n" );
document.write( "area = length x width\r<BR>\n" );
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document.write( "x^2 + 50^2 = (x + 100)^2<BR>\n" );
document.write( "x^2 + 2500 = x^2 + 100 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188380 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=188380\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "I'm not sure why you introduced the idea of the area of the rectangle into this.  You are dealing with a right triangle which has sides of 50 and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> and a hypotenuse of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\,+\,10\">\r<BR>\n" );
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document.write( "At that, you almost had it right.  Using Pythagoras:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ 50^2\ =\ \left(x\ +\ 10\right)^2\">\r<BR>\n" );
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document.write( "I'm assuming that the first relationship you wrote just had a typo in it and that you meant what I just wrote above.\r<BR>\n" );
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document.write( "Now here is where you really got off track.  You tried to say that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(x\,+\,10\right)^2\ =\ x^2\ +\ 10^2\">.  No! No! No! 1000 times No!\r<BR>\n" );
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document.write( "In general, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(a\,+\,b\right)^2\ =\ \left(a\,+\,b\right)\left(a\,+\,b\right)\ =\ a^2\ +\ 2ab\ +\ b^2\">  (Remember FOIL?)\r<BR>\n" );
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document.write( "So, your next step SHOULD have been:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ 2500\ =\ x^2\ +\ 20x\ +\ 100\">\r<BR>\n" );
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document.write( "Which simplifies to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 20x\ =\ 2400\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 120\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "</font> </SPAN>\n" );
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