document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=330574>Question 330574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have this Maths Question.\r<BR>\n" );
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document.write( "The sides of a rectangle are in the ratio 2:3  \r<BR>\n" );
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document.write( "The diagonal is of length 26cm.\r<BR>\n" );
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document.write( "You have to find the perimeter of the rectangle.\r<BR>\n" );
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document.write( "I know that one side is two parts of the ratio and the other side is three parts of the ratio.\r<BR>\n" );
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document.write( "I have squared 26²  To get 676.\r<BR>\n" );
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document.write( "Using Pythagoras theorem. The square of the sides with ratio 2: and 3: equal the longest side which is 26cm squared 676.\r<BR>\n" );
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document.write( "I tried taking the ratio’s dividing it 676 by 5, but this does not give the correct lengths for each side.\r<BR>\n" );
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document.write( "The answer for the whole perimeter is 20&#8730;13\r<BR>\n" );
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document.write( "From the answer I worked out from the ratio that the rectangle is made up of sides length 4&#8730;13, 6&#8730;13, 4&#8730;13, 6&#8730;13,  adding these surds together gives you the answer 20&#8730;13.\r<BR>\n" );
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document.write( "4&#8730;13  = &#8730;16 * &#8730;13  = 208<BR>\n" );
document.write( "6&#8730;13  = &#8730;36 * &#8730;13  = 468\r<BR>\n" );
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document.write( "208 + 468 = 676\r<BR>\n" );
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document.write( "What I can’t do is work out from the diagonal side 26cm squared to 676, how you then split the numbers into their correct ratio’s \r<BR>\n" );
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document.write( "I backward worked it out after looking at the answer but don’t know the procedure to do this.\r<BR>\n" );
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document.write( "Any help would be gratefully received.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #236957 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=236957\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I read your post twice and cannot follow exactly what it is you're asking. \r<BR>\n" );
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document.write( "The ratio given is 2:3 for the sides, which becomes 2x:3x.\r<BR>\n" );
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document.write( "We use the Pythegorean Theorem to find x.\r<BR>\n" );
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document.write( "(2x)^2 + (3x)^2 = 26^2\r<BR>\n" );
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document.write( "4x^2 + 9x^2 = 676\r<BR>\n" );
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document.write( "13x^2 = 676\r<BR>\n" );
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document.write( "x^2 = 676/13\r<BR>\n" );
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document.write( "x^2 = 52\r<BR>\n" );
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document.write( "x = sqrt[52]\r<BR>\n" );
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document.write( "NOTE: sqrt = square root for short.\r<BR>\n" );
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document.write( "The perimeter of a rectangle is found using P = 2L + 2W.\r<BR>\n" );
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document.write( "P = 2(sqrt[52]) + 2(sqrt[52])\r<BR>\n" );
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document.write( "P = 4(sqrt[52]).\r<BR>\n" );
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document.write( "I hope this helps a bit.\r<BR>\n" );
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