document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=869894>Question 869894</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 7 inches more than its width. A diagonal of the rectangle is 13 inches long. What is 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 #528611 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><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=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=528611\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> clearly this triangle belongs to the 5-12-13 family or right triangles, but if this is not apparent...\r<BR>\n" );
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document.write( "We are given that\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=w%2B7 ALIGN=MIDDLE  ALT=\"l=w%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "substituting into the Pythagorean formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2%2B%28w%2B7%29%5E2=13%5E2 ALIGN=MIDDLE  ALT=\"w%5E2%2B%28w%2B7%29%5E2=13%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which can be solved to obtain\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=-12 ALIGN=MIDDLE  ALT=\"w=-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=5 ALIGN=MIDDLE  ALT=\"w=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "but since this is geometry we know all measurements are positive. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=5in ALIGN=MIDDLE  ALT=\"w=5in\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "this in turn means\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=12in ALIGN=MIDDLE  ALT=\"l=12in\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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