document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=850285>Question 850285</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASSSSEE HELP . Determine the dimensions of a rectangle of area 60 in^2 that is inscribed in a circle or radius 6.5 in.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #512079 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=512079\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = one of the dimensions of the rectangle<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60%2Fx+ ALIGN=MIDDLE  ALT=\"+60%2Fx+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the other dimension<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "The center of the circle that this rectangle is<BR>\n" );
document.write( "inscribed in is located where the diagonals cross<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "The length of a diagonal is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+sqrt%28+%28+60%2Fx+%29%5E2+%2B+x%5E2+%29+ ALIGN=MIDDLE  ALT=\"+d+=+sqrt%28+%28+60%2Fx+%29%5E2+%2B+x%5E2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+sqrt%28+3600%2Fx%5E2+%2B+x%5E2+%29+ ALIGN=MIDDLE  ALT=\"+d+=+sqrt%28+3600%2Fx%5E2+%2B+x%5E2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "This diagonal is the same as the diameter of the<BR>\n" );
document.write( "circle, which is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2r+=+2%2A6.5+ ALIGN=MIDDLE  ALT=\"+2r+=+2%2A6.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2r+=+13+ ALIGN=MIDDLE  ALT=\"+2r+=+13+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now I can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13+=+sqrt%28+3600%2Fx%5E2+%2B+x%5E2+%29+ ALIGN=MIDDLE  ALT=\"+13+=+sqrt%28+3600%2Fx%5E2+%2B+x%5E2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Square both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+169+=+3600%2Fx%5E2+%2B+x%5E2+ ALIGN=MIDDLE  ALT=\"+169+=+3600%2Fx%5E2+%2B+x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+=+z+ ALIGN=MIDDLE  ALT=\"+x%5E2+=+z+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+169+=+3600%2Fz+%2B+z+ ALIGN=MIDDLE  ALT=\"+169+=+3600%2Fz+%2B+z+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+ ALIGN=MIDDLE  ALT=\"+z+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+169z+=+3600+%2B+z%5E2+ ALIGN=MIDDLE  ALT=\"+169z+=+3600+%2B+z%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z%5E2+-+169z+%2B+3600+ ALIGN=MIDDLE  ALT=\"+z%5E2+-+169z+%2B+3600+\"   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=+z+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+z+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+1+ ALIGN=MIDDLE  ALT=\"+a+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-169+ ALIGN=MIDDLE  ALT=\"+b+=+-169+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+3600+ ALIGN=MIDDLE  ALT=\"+c+=+3600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+%28+169+%2B-+sqrt%28+%28-169%29%5E2+-+4%2A1%2A3600+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+z+=+%28+169+%2B-+sqrt%28+%28-169%29%5E2+-+4%2A1%2A3600+%29%29+%2F+%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+%28+169+%2B-+sqrt%28+28561+-+14400+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+z+=+%28+169+%2B-+sqrt%28+28561+-+14400+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+%28+169+%2B-+sqrt%28+14161+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+z+=+%28+169+%2B-+sqrt%28+14161+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+%28+169+-+119%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+z+=+%28+169+-+119%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=++50%2F+2+ ALIGN=MIDDLE  ALT=\"+z+=++50%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+25+ ALIGN=MIDDLE  ALT=\"+z+=+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+x%5E2+ ALIGN=MIDDLE  ALT=\"+z+=+x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+sqrt%2825%29+ ALIGN=MIDDLE  ALT=\"+x+=+sqrt%2825%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+5+ ALIGN=MIDDLE  ALT=\"+x+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60%2Fx+=+60%2F5+ ALIGN=MIDDLE  ALT=\"+60%2Fx+=+60%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60%2Fx+=+12+ ALIGN=MIDDLE  ALT=\"+60%2Fx+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The dimension are:<BR>\n" );
document.write( " 5 x 12 in2<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2A12+=+60+ ALIGN=MIDDLE  ALT=\"+5%2A12+=+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "Note that is you go back and pick the<BR>\n" );
document.write( "positive <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28+14161+%29+ ALIGN=MIDDLE  ALT=\"+sqrt%28+14161+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then you<BR>\n" );
document.write( "get the same answers\r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );