document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214689>Question 214689</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to find the surface area of the inside of a dry pond in the shape of an oval.  The length is 107 ft.  The Width is 41 ft.  And it is 5 ft deep.  Please help me find the suface area of this oval shaped dry pond. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162147 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=162147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can do this in two steps:<BR>\n" );
document.write( "1). Find the area of the oval (elliptical) bottom of the dry pool.<BR>\n" );
document.write( "2). Find the inside area of the oval-shaped side.<BR>\n" );
document.write( "Add these together to get total inside surface area.<BR>\n" );
document.write( "1) The area of an ellipse is given by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%28pi%29%2Aa%2Ab ALIGN=MIDDLE  ALT=\"A+=+%28pi%29%2Aa%2Ab\"   DISABLED_style= \"max-width:90%; height:auto;\" > where a = the length of the semi-major axis and b = the length of the semi-minor axis.<BR>\n" );
document.write( "In this pool, the semi-major axis (a) is 107/2 = 53.5ft.<BR>\n" );
document.write( "The length of the semi-minor axis (b) is 41/2 = 20.5ft.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%28pi%29%2853.5%29%2820.5%29 ALIGN=MIDDLE  ALT=\"A+=+%28pi%29%2853.5%29%2820.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28A+=+3445.5%29 ALIGN=MIDDLE  ALT=\"highlight_green%28A+=+3445.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >sq.ft.<BR>\n" );
document.write( "2) The area of the of the iside of the elliptical-shaped pool by multplying the circumference of the pool by the depth of the pool.<BR>\n" );
document.write( "The approximate circumference (C) of the elliptical pool is given by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+2%28pi%29sqrt%28%28a%5E2%2Bb%5E2%29%2F2%29 ALIGN=MIDDLE  ALT=\"C+=+2%28pi%29sqrt%28%28a%5E2%2Bb%5E2%29%2F2%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%5E2+=+53.5%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+=+53.5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+=+2862.25 ALIGN=MIDDLE  ALT=\"a%5E2+=+2862.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+=+20.5%5E2 ALIGN=MIDDLE  ALT=\"b%5E2+=+20.5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+=+420.25 ALIGN=MIDDLE  ALT=\"b%5E2+=+420.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+2%28pi%29sqrt%28%282862.25%2B420.25%29%2F2%29 ALIGN=MIDDLE  ALT=\"C+=+2%28pi%29sqrt%28%282862.25%2B420.25%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+254.55 ALIGN=MIDDLE  ALT=\"C+=+254.55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now multiply this by the depth of the pool (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+5 ALIGN=MIDDLE  ALT=\"d+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >ft.)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2Ad+=+%28254.55%29%2A%285%29 ALIGN=MIDDLE  ALT=\"C%2Ad+=+%28254.55%29%2A%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%281272.75%29 ALIGN=MIDDLE  ALT=\"highlight_green%281272.75%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >sq.ft. This is the area of the inside wall of the pool. Add the two areas to get the total surface area (S) of the inside of the dry pool.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+3445.5%2B1272.75 ALIGN=MIDDLE  ALT=\"S+=+3445.5%2B1272.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28S+=+4718%29 ALIGN=MIDDLE  ALT=\"highlight%28S+=+4718%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >sq.ft.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );