document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=588428>Question 588428</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The primeter of a rectangle is 30 cm,<BR>\n" );
document.write( "Find the whole-number dimensions of the rectangle with:<BR>\n" );
document.write( "(a) the greatest area<BR>\n" );
document.write( "(b) the least area </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374497 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=374497\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "If you are allowed to use the fact that the largest area rectangle for a given perimeter is a square with side measure of the perimeter divided by 4, then divide 30 by 4 to get 7.5 and then round up to 8.\r<BR>\n" );
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document.write( "If you are required to prove that the largest area is a square then write back and I'll show you a proof.\r<BR>\n" );
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document.write( "The smallest would be a 0 by 15 rectangle with an area of zero, but a rectangle with a zero dimension is not a rectangle, it is a line.  The restriction to stick with whole numbers means the two short sides must measure 1, leaving 14 for the two long sides.  1 times 14 is 14.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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