document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1096731>Question 1096731</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangle is 62ft. Describe the possible lengths of a side if the area of the rectangle is not to exceed 184 square feet </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #711125 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=711125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P=2L+2W<BR>\n" );
document.write( "half P=L+W=31 feet<BR>\n" );
document.write( "L=31-W<BR>\n" );
document.write( "area is W(31-W)=184<BR>\n" );
document.write( "So -W^2+31W-184=0<BR>\n" );
document.write( "W^2-31W+184=0<BR>\n" );
document.write( "(W-23)(W-8)=0\r<BR>\n" );
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document.write( "If we make the longer side the length, L,<BR>\n" );
document.write( "Length=23 ft, width=8 ft will give an area of 184 ft^2<BR>\n" );
document.write( "Greater than or equal to 23 feet for length, and therefore <8 feet for width will give smaller values right up to 30 and 1<BR>\n" );
document.write( "Length >=23 feet, 23+x by 8-x, where x is [0,8)<BR>\n" );
document.write( "Width <= 8 feet\r<BR>\n" );
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document.write( " </SPAN>\n" );
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