document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=712627>Question 712627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length and width of a rectangle are given by consecutive integers. The area of the rectangle is 12 cm^2. Approximate the length of a diagonal of the rectangle to three decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #438092 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=438092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x*(x+1) = 12\r<BR>\n" );
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document.write( "x^2 + x = 12\r<BR>\n" );
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document.write( "x^2 + x - 12 = 0\r<BR>\n" );
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document.write( "(x + 4)(x - 3) = 0\r<BR>\n" );
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document.write( "x + 4 = 0 or x - 3 = 0\r<BR>\n" );
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document.write( "x = -4 or x = 3\r<BR>\n" );
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document.write( "The two consecutive numbers are 3 and 4\r<BR>\n" );
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document.write( "a^2 + b^2 = c^2\r<BR>\n" );
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document.write( "3^2 + 4^2 = c^2\r<BR>\n" );
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document.write( "25 = c^2\r<BR>\n" );
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document.write( "c^2 = 25\r<BR>\n" );
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document.write( "c = sqrt(25)\r<BR>\n" );
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document.write( "c = 5\r<BR>\n" );
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document.write( "So the diagonal is 5 units long. </SPAN>\n" );
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