document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=324560>Question 324560</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diagonal of a rectangle is twenty-five inches more than its width. The length of the rectangle is twenty-three inches more than its width. What is the 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 #232288 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=232288\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  The diagonal of a rectangle is twenty-five inches more than its width. The length of the rectangle is twenty-three inches more than its width. What is the width of the rectangle?<BR>\n" );
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document.write( "diag = width + 25<BR>\n" );
document.write( "length = width + 23<BR>\n" );
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document.write( "diag^2 = width^2 + length^2<BR>\n" );
document.write( "(w+25)^2 = w^2 + (w+23)^2<BR>\n" );
document.write( "w^2 +50w + 625 = w^2 + w^2 + 46w + 529<BR>\n" );
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document.write( "w^2-4w-96 = 0<BR>\n" );
document.write( "(w+8)(w-12) = 0<BR>\n" );
document.write( "w = 12 inches (width)<BR>\n" );
document.write( "diag = w + 25 = 37 inches <BR>\n" );
document.write( "length = w + 23 = 35 inches<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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