document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=304647>Question 304647</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me with this problem?\r<BR>\n" );
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document.write( "Rectangular stage. One side of a rectangular stage is<BR>\n" );
document.write( "2 meters longer than the other. If the diagonal is 10 meters,<BR>\n" );
document.write( "then what are the lengths of the sides? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #218163 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=218163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Can you please help me with this problem? <BR>\n" );
document.write( "Rectangular stage. One side of a rectangular stage is<BR>\n" );
document.write( "2 meters longer than the other. If the diagonal is 10 meters,<BR>\n" );
document.write( "then what are the lengths of the sides?\r<BR>\n" );
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document.write( "Let x be the width. Then x+2 is the length. Then the diagonal is the hypotenuse of a right triangle. By the Pythagorean Theorem we have:\r<BR>\n" );
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document.write( "x^2 + (x+2)^2 = 10^2  <BR>\n" );
document.write( "x^2 + x^2 + 4x + 4 = 100<BR>\n" );
document.write( "2x^2 + 4x - 96 = 0<BR>\n" );
document.write( "x^2 + 2x - 48 = 0<BR>\n" );
document.write( "(x+8)*(x-6) = 0\r<BR>\n" );
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document.write( "x = -8 or x = 6<BR>\n" );
document.write( "A dimension can't be negative so the width x = 6. The length then is x+2 = 8.<BR>\n" );
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