document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=353659>Question 353659</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangle is 34 feet, and the diagonal is 13 feet long. What are the length and width of the rectangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #252775 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=252775\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let length is 'a' and width is 'b'.\r<BR>\n" );
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document.write( "according to question,\r<BR>\n" );
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document.write( "perimeter      2(a+b)= 34 <BR>\n" );
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document.write( "    or, a+b = 17 ...........(1)\r<BR>\n" );
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document.write( "     \r<BR>\n" );
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document.write( " a^2 + b^2 = (13)^2\r<BR>\n" );
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document.write( "=> a^2 + b^2 = 169\r<BR>\n" );
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document.write( "now putting  a = 17-b from (1) in above equation\r<BR>\n" );
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document.write( " => (17-b)^2 + b^2 = 169\r<BR>\n" );
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document.write( " => 289 + b^2 - 34b + b^2 = 169\r<BR>\n" );
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document.write( "  => 2b^2 -34b + 120 = 0\r<BR>\n" );
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document.write( " => b^2 - 17b + 60 = 0   (dividing by 2)\r<BR>\n" );
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document.write( "=>  b^2 -12b -5b +60 =0\r<BR>\n" );
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document.write( "=> b(b-12)-5(b -12) = 0\r<BR>\n" );
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document.write( "=> ( b-5) (b-12) = 0\r<BR>\n" );
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document.write( "so, b= 5 or b =12\r<BR>\n" );
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document.write( "if b= 5, a = 12\r<BR>\n" );
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document.write( "        if b = 12 , a= 5\r<BR>\n" );
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document.write( "so length and width are 5 and 12. </SPAN>\n" );
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