document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=90292>Question 90292</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072549017/algebrahomeworkh>Beginning Al</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?\r<BR>\n" );
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document.write( "Thanks for the help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65705 by </B><A HREF=/tutors/aboutme.mpl?userid=vertciel><B>vertciel(183)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vertciel><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=65705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello there,\r<BR>\n" );
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document.write( "Denote:\r<BR>\n" );
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document.write( "Width = w\r<BR>\n" );
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document.write( "Length = 1 + w\r<BR>\n" );
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document.write( "A rectangle can form two isosceles triangles, so we can use the Pythagorean Theorem to find the length and width.\r<BR>\n" );
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document.write( "a^2 + b^2 = c^2\r<BR>\n" );
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document.write( "w^2 + (w + 1)^2 = 4^2\r<BR>\n" );
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document.write( "2w^2 + 2w + 1 = 16\r<BR>\n" );
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document.write( "2w^2 + 2w - 15 = 0\r<BR>\n" );
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document.write( "Find w, and plug them into the short equations for width and length. There you are. </SPAN>\n" );
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