document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=951465>Question 951465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve this?\r<BR>\n" );
document.write( "\n" );
document.write( "A rectangle with diagonals of length 20 cm has sides in the ratio 2 : 1. Find the:<BR>\n" );
document.write( "a perimeter <BR>\n" );
document.write( "b area of the rectangle.\r<BR>\n" );
document.write( "\n" );
document.write( "I know the answer but not how to find it.\r<BR>\n" );
document.write( "\n" );
document.write( "Please help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #581065 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=581065\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "A rectangle with diagonals of length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=20cm ALIGN=MIDDLE  ALT=\"d=20cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > has sides in the ratio <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%3A+1 ALIGN=MIDDLE  ALT=\"2+%3A+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
document.write( "\n" );
document.write( "diagonal divide a rectangle in two right-angle triangles\r<BR>\n" );
document.write( "\n" );
document.write( "so, if sides of a rectangle are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > then we can write equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=a%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "since  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=20cm ALIGN=MIDDLE  ALT=\"d=20cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820cm%29%5E2=a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"%2820cm%29%5E2=a%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400cm%5E2=a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"400cm%5E2=a%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "since  sides in the ratio <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%3A+1 ALIGN=MIDDLE  ALT=\"2+%3A+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3Ab=2+%3A+1 ALIGN=MIDDLE  ALT=\"a%3Ab=2+%3A+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > =><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2b ALIGN=MIDDLE  ALT=\"a=2b\"   DISABLED_style= \"max-width:90%; height:auto;\" >..substitute in eq. above\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400cm%5E2=%282b%29%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"400cm%5E2=%282b%29%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400cm%5E2=4b%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"400cm%5E2=4b%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400cm%5E2=5b%5E2 ALIGN=MIDDLE  ALT=\"400cm%5E2=5b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400cm%5E2%2F5=b%5E2 ALIGN=MIDDLE  ALT=\"400cm%5E2%2F5=b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80cm%5E2=b%5E2 ALIGN=MIDDLE  ALT=\"80cm%5E2=b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%2880cm%5E2%29 ALIGN=MIDDLE  ALT=\"b=sqrt%2880cm%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=8.94cm ALIGN=MIDDLE  ALT=\"b=8.94cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2b ALIGN=MIDDLE  ALT=\"a=2b\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2%2A8.94cm ALIGN=MIDDLE  ALT=\"a=2%2A8.94cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=17.88cm ALIGN=MIDDLE  ALT=\"a=17.88cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Find the:\r<BR>\n" );
document.write( "\n" );
document.write( "a) perimeter\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2a%2B2b ALIGN=MIDDLE  ALT=\"P=2a%2B2b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2%2A17.88cm%2B2%2A8.94cm ALIGN=MIDDLE  ALT=\"P=2%2A17.88cm%2B2%2A8.94cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2%2A17.88cm%2B2%2A8.944271909999159cm ALIGN=MIDDLE  ALT=\"P=2%2A17.88cm%2B2%2A8.944271909999159cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=35.76cm%2B17.88cm ALIGN=MIDDLE  ALT=\"P=35.76cm%2B17.88cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=53.64cm ALIGN=MIDDLE  ALT=\"P=53.64cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "b) area of the rectangle. \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=ab ALIGN=MIDDLE  ALT=\"A=ab\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=17.88cm%2A8.94cm ALIGN=MIDDLE  ALT=\"A=17.88cm%2A8.94cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=159.8472cm%5E2 ALIGN=MIDDLE  ALT=\"A=159.8472cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );