document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=283279>Question 283279</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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 #205643 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=205643\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Pythagorean theorem applies:  the diagonal is the hypotenuse of a right triangle.<BR>\n" );
document.write( "The sides are the triangle are the length and width of the rectangle.<BR>\n" );
document.write( "We are told the diagonal is 10 m.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+length ALIGN=MIDDLE  ALT=\"L+=+length\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+width ALIGN=MIDDLE  ALT=\"W+=+width\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+W%2B2 ALIGN=MIDDLE  ALT=\"L+=+W%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  :: The length is 2 m > width, so the width + 2 = length<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2+%2B+W%5E2+=+10%5E2 ALIGN=MIDDLE  ALT=\"L%5E2+%2B+W%5E2+=+10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+W%2B2 ALIGN=MIDDLE  ALT=\"L+=+W%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W%2B2%29%5E2+%2B+W%5E2+=+100 ALIGN=MIDDLE  ALT=\"%28W%2B2%29%5E2+%2B+W%5E2+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2+%2B+4W+%2B+4+%2B+W%5E2+=+100 ALIGN=MIDDLE  ALT=\"W%5E2+%2B+4W+%2B+4+%2B+W%5E2+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2W%5E2+%2B+4W+-+96+=+0 ALIGN=MIDDLE  ALT=\"2W%5E2+%2B+4W+-+96+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "divide through by 2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2+%2B+2W+-48+=+0 ALIGN=MIDDLE  ALT=\"W%5E2+%2B+2W+-48+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "factor<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W%2B8%29%28W-6%29=+0 ALIGN=MIDDLE  ALT=\"%28W%2B8%29%28W-6%29=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "So our choices are W=-8 and W=6, but a negative width doesn't make sense.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+W%2B2+=+6%2B2+=+8 ALIGN=MIDDLE  ALT=\"L+=+W%2B2+=+6%2B2+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "checking our solution, is the diagonal 10?<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%5E2%2B+8%5E2+=+36+%2B+64+=+100 ALIGN=MIDDLE  ALT=\"6%5E2%2B+8%5E2+=+36+%2B+64+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "So the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=diagonal+=+sqrt%28100%29=10 ALIGN=MIDDLE  ALT=\"diagonal+=+sqrt%28100%29=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Correct<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "The lengths of the sides of the rectangle are 6 and 8.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Done. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );