document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168319>Question 168319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of a kite varies jointly with the lengths of its two diagonals.  If a kite with the area 30 inches squared has one diagonal of length 10 inches and the other diagonal of length 6 inches, what is the area of a kite with diagonals of length 8 inches and 13 inches? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124050 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=124050\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=k%28d%5B1%5D%29%28d%5B2%5D%29 ALIGN=MIDDLE  ALT=\"a=k%28d%5B1%5D%29%28d%5B2%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  find the constant k <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30=k%2810%29%286%29 ALIGN=MIDDLE  ALT=\"30=k%2810%29%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30=60k ALIGN=MIDDLE  ALT=\"30=60k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=1%2F2 ALIGN=MIDDLE  ALT=\"k=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "now plug in next set of diagonals using the found value of k to find the area desired<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=%281%2F2%29%288%29%2813%29 ALIGN=MIDDLE  ALT=\"a=%281%2F2%29%288%29%2813%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%28a=52%29 ALIGN=MIDDLE  ALT=\"highlight%28a=52%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >sq inches\r<BR>\n" );
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document.write( " </SPAN>\n" );
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