document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=939616>Question 939616</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the perimeter of an ellipse with an area equal to 12pi square units if the non-opposite vertices are 5 units apart? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #572636 by </B><A HREF=/tutors/aboutme.mpl?userid=laoman><B>laoman(51)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=laoman><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=laoman><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=572636\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given area of the ellipse to be 2pi<BR>\n" );
document.write( "Let x and y be the adjacent sides of the ellipse as shown in the picture<BR>\n" );
document.write( "pi*x*y = 12*pi<BR>\n" );
document.write( "i.e. x*y = 12 -------eqn1\r<BR>\n" );
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document.write( "Also<BR>\n" );
document.write( "Perimeter of ellipse is pi*(x+y)\r<BR>\n" );
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document.write( "Given that the distance between the vertices of x and y are 5units apart<BR>\n" );
document.write( "This can form a right anglr triangle,<BR>\n" );
document.write( "From pythagoras' theorem, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B+y%5E2+=+5%5E2+=+25 ALIGN=MIDDLE  ALT=\"x%5E2%2B+y%5E2+=+5%5E2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Also, to simplify things up here to get our perimeter,<BR>\n" );
document.write( "We know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29%5E2+=+x%5E2%2By%5E2%2B2%2Ax%2Ay ALIGN=MIDDLE  ALT=\"%28x%2By%29%5E2+=+x%5E2%2By%5E2%2B2%2Ax%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "SubStituting values<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29%5E2+=+25+%2B+2%2A12 ALIGN=MIDDLE  ALT=\"%28x%2By%29%5E2+=+25+%2B+2%2A12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29=+sqrt%2849%29 ALIGN=MIDDLE  ALT=\"%28x%2By%29=+sqrt%2849%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x+y = 7<BR>\n" );
document.write( "But perimeter is pi * (x+y)<BR>\n" );
document.write( "= 7 * pi\r<BR>\n" );
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document.write( "QED </SPAN>\n" );
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