document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=99152>Question 99152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area of the rectangle <BR>\n" );
document.write( " top side of the rectangle is sqrt (3) + sqrt (5)<BR>\n" );
document.write( " side of the rectangle is sqrt (3) + sqrt (5)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #72198 by </B><A HREF=/tutors/aboutme.mpl?userid=Adam><B>Adam(64)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Adam><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=72198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is the special case of rectangle where all sides have same length, which we denote a. There is formula for surface area of rectangle with side a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+a%5E2 ALIGN=MIDDLE  ALT=\"S+=+a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Thus <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+%28sqrt%283%29%2Bsqrt%285%29%29%5E2 ALIGN=MIDDLE  ALT=\"S+=+%28sqrt%283%29%2Bsqrt%285%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we can use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%5E2=a%5E2%2B2ab%2Bb%5E2 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%5E2=a%5E2%2B2ab%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3+2*(sqrt(3)*sqrt(5)+5<BR>\n" );
document.write( "now we can use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29+=+x%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29+=+x%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Ex%2Ab%5Ex=%28a%2Ab%29%5Ex ALIGN=MIDDLE  ALT=\"a%5Ex%2Ab%5Ex=%28a%2Ab%29%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > and we get<BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2B%283%2A5%29%5E1%2F2 ALIGN=MIDDLE  ALT=\"8%2B%283%2A5%29%5E1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2B15%5E1%2F2 ALIGN=MIDDLE  ALT=\"8%2B15%5E1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Bsqrt%2815%29 ALIGN=MIDDLE  ALT=\"8%2Bsqrt%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is around 11.873\r<BR>\n" );
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document.write( "If you are interested in higher mathematics, area of rectangle can also be computed using definite integral <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28a%2Cdx%2Ca%2Cb%29 ALIGN=MIDDLE  ALT=\"int%28a%2Cdx%2Ca%2Cb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where a is constant function and integration bounds define left and right side, in our case it would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28sqrt%283%29%2Bsqrt%285%29%2Cdx%2C0%2Csqrt%283%29%2Bsqrt%285%29%29 ALIGN=MIDDLE  ALT=\"int%28sqrt%283%29%2Bsqrt%285%29%2Cdx%2C0%2Csqrt%283%29%2Bsqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = F(b)-F(a) =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%283%29%2Bsqrt%285%29%29%2A%28sqrt%283%29%2Bsqrt%285%29%29-0 ALIGN=MIDDLE  ALT=\"%28sqrt%283%29%2Bsqrt%285%29%29%2A%28sqrt%283%29%2Bsqrt%285%29%29-0\"   DISABLED_style= \"max-width:90%; height:auto;\" > whic leads to same result.  </SPAN>\n" );
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