document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328087>Question 328087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An ellipse with center at the origin and the horizontal major axis is to fit snugly insidde a rectangle that has its longer sides horzontal. The area of the rectangle is 12 square units, and the perimeter is 14 units find an equation for the ellipse. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235014 by </B><A HREF=/tutors/aboutme.mpl?userid=galactus><B>galactus(183)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=galactus><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=galactus><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=235014\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The rectangle has perimeter 2x+2y=14\r<BR>\n" );
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document.write( "and area xy=12\r<BR>\n" );
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document.write( "Solve area for y and sub into perimeter, y=12/x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2%2812%2Fx%29=14 ALIGN=MIDDLE  ALT=\"2x%2B2%2812%2Fx%29=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x is the longer one, so x=4 and y=3\r<BR>\n" );
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document.write( "This means the semi-major axis has length 2 and the semi-minor axis has length <BR>\n" );
document.write( "3/2\r<BR>\n" );
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document.write( "So, the ellipse equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F%282%29%5E2%2By%5E2%2F%283%2F2%29%5E2=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F%282%29%5E2%2By%5E2%2F%283%2F2%29%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F4%2B4y%5E2%2F9=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F4%2B4y%5E2%2F9=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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