document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=191722>Question 191722</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321233832/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular patio is 7 feet longer than it is wide. Determine the dimensions of the patio if it measures 13 feet diagonally. Name the variables in the equation.\r<BR>\n" );
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document.write( "Thank You </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143833 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=143833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use  right  triangle  with  sides  (w)  by  (w+7)  with  hyp  of  13\r<BR>\n" );
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document.write( "pythagorous  gives  c^2 = a^2  +  b^2\r<BR>\n" );
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document.write( "13^2  =  (w)^2  + (w+7)^2\r<BR>\n" );
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document.write( "169  =  w^2  +  w^2  +14w  +49\r<BR>\n" );
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document.write( "subtracting  169  both  sides\r<BR>\n" );
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document.write( "0  =  2 w^2  +  14w  -120\r<BR>\n" );
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document.write( "0=  2  (w^2  +7w  -60)\r<BR>\n" );
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document.write( "factoring\r<BR>\n" );
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document.write( "0 = 2 ( w+12)  (w-5)\r<BR>\n" );
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document.write( "set  (w+12)  = 0,    w=  -12   not  realistic\r<BR>\n" );
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document.write( "set  (w-5)  = 0,   w = 5\r<BR>\n" );
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document.write( "Dims  are  w=5,  w+7 = 12\r<BR>\n" );
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document.write( "check     13^2  =  5^2  +12^2  =  25  +144 = 169    ok </SPAN>\n" );
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